Answer: 14.7 grams of fat.
Step-by-step explanation:
The data we have is:
1g of sugar contains 4 cal
1g of fat contains 9 cal.
Let's define:
S = # of grams of sugar.
F = # of grams of fat.
We know that:
A serving has 160 calories:
S*4cal + F*9cal = 160 cal.
S = 7.
Then we can replace the second equation into the first one, and get:
7*4cal + F*9cal = 160cal
F*9cal = 160cal - 28cal = 132 cal.
F = 132cal/9cal = 14.66...
Now we want to round it to the first decimal place, the next decimal after it is a 6, so we must round up.
F = 14.7
This means that the serving has 14.7 grams of fat.
1/2 mile in every 1/3 hour in a desmal
Answer:
.5 in every .33333333
Step-by-step explanation:
Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x) = 2^(x-5)
As x approaches negative infinity, h(r) approaches negative infinity.
As x approaches positive infinity, h(t) approaches 0.
As x approaches positive Infinity, h(t) approaches positive infinity.
As x approaches negative infinity, h(a) approaches positive infinity.
Answer: As x approaches positive infinity, h(x) approaches positive infinity
Step-by-step explanation:
The correct option is Option C: As x approaches positive Infinity, h(t) approaches positive infinity.
What is the exponential function?The exponential function is a function where the base is raised exponent times where the exponent is an input variable and the base is a constant.
For example: f(x)= aˣ
Similarly here given in the question,
the function is h(x)= [tex]2^{x-5[/tex]
the domain of this function is real number R i.e (-∞,∞)
The range of the function is real numbers greater than 0.
So when x approaches to negative infinity,
[tex]\lim_{x \to- \infty} h(x)[/tex]
= [tex]\lim_{x \to- \infty} 2^{x-5[/tex]
= 2^(-∞-5)
= 2^(-∞)
= 1/2^∞
=0
So, As x approaches negative infinity, function h(x) approaches 0.
Then when x approaches to positive infinity,
[tex]\lim_{x \to \infty} h(x)[/tex]
= [tex]\lim_{x \to \infty} 2^{x-5[/tex]
= 2^(∞-5)
= 2^(∞)
= ∞
So, As x approaches positive Infinity, h(t) approaches positive infinity.
By checking all the options there is only one option that matches the above conclusion.
Therefore the correct option is Option C: As x approaches positive Infinity, h(t) approaches positive infinity.
Learn more about exponential function
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Find the missing lengths of the sides.
Answer:
a is 3
and b is 5
please add me as buddy
Answer:
a = 3 inches
b = 3[tex]\sqrt{3}[/tex] inches
Step-by-step explanation:
From the figure,
Sin 30° = Opposite / Hypotenuse
Sin 30° = a / 6
1 / 2 = a / 6 (Sin 30° = 1/2)
a = 3 inches
From the same angle,
Cos 30° = Adjacent / Hypotenuse
Cos 30° = b / 6
[tex]\frac{\sqrt{3} }{2}[/tex] = [tex]\frac{b}{6}[/tex] (Cos 30° = [tex]\sqrt{3}[/tex] / 2)
b = 6 * [tex]\frac{\sqrt{3} }{2}[/tex]
b = 3[tex]\sqrt{3}[/tex] inches
Kindly Mark Brainly
pls help
Given: △ABC, CM⊥ AB, BC = 5, AB = 7
CA = 4 sqrt(2)
Find: CM
Answer:
The general plan is to find BM and from that CM. You need 2 equations to do that.
Step One
Set up the two equations.
(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32
BM^2 + CM^2 = 5^2 = 25
Step Two
Subtract the two equations.
(7 - BM)^2 + CM^2 = 32
BM^2 + CM^2 = 25
(7 - BM)^2 - BM^2 = 7 (3)
Step three
Expand the left side of the new equation labeled (3)
49 - 14BM + BM^2 - BM^2 = 7
Step 4
Simplify And Solve
49 - 14BM = 7 Subtract 49 from both sides.
-49 - 14BM = 7 - 49
- 14BM = - 42 Divide by - 14
BM = -42 / - 14
BM = 3
Step Five
Find CM
CM^2 + BM^2 = 5^2
CM^2 + 3^2 = 5^2 Subtract 3^2 from both sides.
CM^2 = 25 - 9
CM^2 = 16 Take the square root of both sides.
sqrt(CM^2) = sqrt(16)
CM = 4 < Answer
Step-by-step explanation:
-11.25 divided by -0.375
Answer: 30
Step-by-step explanation:
greg bought a blanket for $33.34, a flag for $12.25, and a glove for $12.75. He paid $40 and the rest he borrowed from his friend. If greg got $1.66 in change, how much did he borrow from his friend to pay for all the items?
Answer:
He borrowed 16.68
Step-by-step explanation:
Answer: $16.68 .....
Factor out the GCF from the polynomial below.
15x^9 + 25x^8 + 55x^6
Answer:
[tex]5x^6[/tex]
Step-by-step explanation:
Answer:
[tex] 5x^6(3x^3 + 5x^2 + 11) [/tex]
Step-by-step explanation:
The GCF of 15, 25, and 55 is 5.
The GCF of x^9, x^8, and x^6 is x^6.
The GCF of the terms of the polynomial is 5x^6.
Now we factor it out of the polynomial by dividing each term of the polynomial by the GCF of the polynomial.
[tex] 5x^6(3x^3 + 5x^2 + 11) [/tex]
The area of this rectangle is 72 what is the length,x, if the width is 4
Answer:
18
Step-by-step explanation:
you have to divide 72 by 4. when you get 18 you can multiply that by 4 and you would get 72.
A while ago, Nicole bought shares of stock in a high-tech firm. At that time, the selling price was $60 per share. According to today's newspaper, a share is currently worth 30% more. What is the current value of one share?
Answer:
Step-by-step explanation:
1. Dividends
2. Capital gains
-The discounted present value of the sum of next period's dividend plus next period's stock price
-The discounted present value of all future dividends
P0 = [(Div1)/(1+R)] + [P1/(1+R)]
where Div 1 = expected dividend paid at year's end
P1 = expected price at year's end
R = discount rate
Answer:
$78
Step-by-step explanation:
A share is worth 30% more, so multiply 30% by 60 to get 30% of 60, which is 18. Then, add 18 to 60 because the share is 30% more, and you get 78.
Jim lost 4 lbs each week for 10 weeks. Express his total weight change as an integer.
Answer:
4:10
Step-by-step explanation
Brad has groups of 10 pennies. Brad counts 40, but he has 6 more stacks to count. How many pennies does he have?
Answer:
He has 60 pennies
Step-by-step explanation:
A building is 50 feet tall. Imagine you are standing 30 feet away from it. What is the angle when you are looking up at your friend on the top of
building?
36.9 59.0 53.1 31.0
Answer:
53.1
Step-by-step explanation:
I used my protractor and that is what I got there is no detailed explanation that I came up with
4x+y-2z=5 -4x-5y+3z=-3 -4x-6y+z=16
100 and time ok okiuu88
In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 8 and 6?
Answer:
Corresponding Angles
Step-by-step explanation:
63x32
630x32
6300x32
explain how you did it
Answer:
Ask you might know 63×32 is 2,016 so 630×32 is 2,016 just with a 0 added and so far on so 630×32 would be 20,160 and 6300×32 would be 201,600
Shelly bought 5 pounds of bananas for $1.10. How much were the bananas per pound?
Answer:
$0.22
Stage 1: Divide.
$1.10 ÷ 5 = $0.22.
Your answer would be $0.22 per pound. Hope it helps!
4 less than the product of one and a number z
Answer:
z - 4
Step-by-step explanation:
Step 1: Convert "4 less"
-4
Step 2: Convert "Product of one and a number z"
1 · z
z
Step 3: Combine
z - 4
Answer:
it's 1z-4
Step-by-step explanation:
4 = 4
(less than) = subtraction
(product of) = multiplication
one = 1
Z = Z
do a switcheroo
which then becomes : (1)(z)(-)(4)
(product of) (one) and a (number z) = 1 multiplied by z
4 is less than = - 4 because it's less than
I WILL GIVE BRAINLIEST IF U GET CORRECT
Liz created this table to show the ratio of red pencils to green pencils in her box. Identify the ratios that are equivalent to the ratio of red pencils to green pencils in Liz’s table.
red pencils----------green pencils
2-----------------------------6
4-----------------------------12
6-----------------------------18
8-----------------------------24
Which of the following is part of a line that has two endpoints?
O Angle
O Plane
O Line segment
O Perpendicular lines
Answer:
line segment
Step-by-step explanation:
I took the test.
3 ( Q - 7 ) = 21
Q = ?
Answer:
Step-by-step explanation:
use distributive prop.
3 times q =3Q
3 Times -7 =-21
3Q-21=21
ADD 21 to both sides
3q=42
q=14 .
An object is traveling in a steady speed of 10 1/5 mi/h. How long will it take the object to travel 4 4/5 mi? First round to the nearest integer. Then find the exact answer.
Answer:
30
Step-by-step explanation:
Speed is the rate of change of distance over time
It will take the object 28 minutes to travel a distance of [tex]\mathbf{4 \frac 45 miles}[/tex]
The given parameters are:
[tex]\mathbf{Speed = 10 \frac 15 mi/h}[/tex]
[tex]\mathbf{Distance = 4 \frac 45 mi}[/tex]
The speed of an object is:
[tex]\mathbf{Speed = \frac{Distance}{Time}}[/tex]
Make Time the subject
[tex]\mathbf{Time= \frac{Distance}{Speed }}[/tex]
Substitute known values
[tex]\mathbf{Time = 4 \frac 45 mi \div 10\frac 15 mi/h}[/tex]
Cancel out the units
[tex]\mathbf{Time = 4 \frac 45 \div 10\frac 15 \ h}[/tex]
Convert fractions
[tex]\mathbf{Time = \frac {24}5 \div \frac{51}5 \ h}[/tex]
Express as multiplication
[tex]\mathbf{Time = \frac {24}5 \times \frac{5}{51} \ h}[/tex]
[tex]\mathbf{Time = \frac {24}{51} \ h}[/tex]
Convert to minutes
[tex]\mathbf{Time = \frac {24}{51} \times 60\ min}[/tex]
[tex]\mathbf{Time = \frac {1440}{51} \ min}[/tex]
[tex]\mathbf{Time = 28 min}[/tex]
Hence, it will take the object 28 minutes
Read more about speed, distance and time at:
https://brainly.com/question/21791162
During the regular season, a National Basketball Association team plays 82 games and a National Football League team plays 16 games. In simplest form, what is the ratio of NFL regular season games to NBA regular season games?
Answer:
NFL teams play 16 regular season games each year, NHL and NBA teams play 82, while MLB teams play 162-could invalidate direct comparisons of win percentages alone. As an example, the highest annual team winning percentage is roughly 87% in the NFL but only 61% in MLB and part (but not all) of that difference is undoubtedly tied to the shorter NFL regular season
Answer:
Hi have a nice day!!!!!!!
Step-by-step explanation:
Use the Law of Cosines to determine the indicated angle 0. (Assume a - 139.5, b = 59.5, and c = 156.5. Round your answer to the nearest degree.)
====================================================
Work Shown:
Law of cosines
c^2 = a^2 + b^2 - 2*a*b*cos(C)
156.5^2 = 139.5^2 + 59.5^2 - 2*139.5*59.5*cos(C)
24492.25 = 19460.25 + 3540.25 - 16600.5*cos(C)
24492.25 = 23000.5 - 16600.5*cos(C)
24492.25 - 23000.5 = -16600.5*cos(C)
1491.75 = -16600.5*cos(C)
-16600.5*cos(C) = 1491.75
cos(C) = (1491.75)/(-16600.5)
cos(C) = -0.0898617511520737
C = arccos(-0.0898617511520737)
C = 95.1556537886261
C = 95 degrees approximately
Make sure your calculator is in degree mode.
"arccos" is short for "arccosine" which is the same as inverse cosine. Your calculator may show this as the button labeled [tex]\cos^{-1}[/tex]
Which list shows the numbers in order from largest to smallest?
Answer:
C
Step-by-step explanation:
10/3 = 3.33
3.3 = 3.3
pie =3.14
square root of 8 =2.8
my question is what is 1x0 what will be thensum
Answer:
0
Step-by-step explanation:
Answer:
1 x 0 = 0
Step-by-step explanation:
Anything multiplied by zero is zero. Also, it's called the qoutient not the sum...
A cable is 60 meters long. How long is the cable in decimeters?
Answer: 600 decimeters.
Step-by-step explanation: This conversion of 60 meters to decimeters has been calculated by multiplying 60 meters by 10 and the result is 600 decimeters
PLZ MARK ME BRILLIANT
Answer:
the answer is 600 decimeters
)A scanner scanned 63 photos in 9 minutes. If it scans photos at a constant rate, it can scan _____ photos in 21 minutes.
Answer:
147 photos
Step-by-step explanation:
63 photos -> 9 minutes
To find the number of photos scanned per minute, divide both sides by 9.
[tex]63\div 9=7[/tex] photos -> 1 minute
To find 21 minutes, we can do [tex]21\times 7=147[/tex]
Answer:
147 photos
Step-by-step explanation:
Hope this helps
If point A is located at (-7, -3), and there are 18 points between A and B, what could be the possible coordinates for point B?
Answer: (-25,-3)
Step-by-step explanation:
I subtracted 18 from the x value.
Note: You could of added 18 from the x value or you could of subtracted/added to the y value.
The graph shows the charges of an instructor. The
instructor charges an initial fee and then an hourly rate
for private lessons. Determine the instructor's hourly
charge from the graph.
What is the hourly charge?
O $1.00
O $4.00
O $7.00
O $8.00
Answer:
$8
Step-by-step explanation:
5-{-12}x3-24 divided by 6
Answer:37
Step-by-step explanation: 5-{-12}x3-24 divided by 6
5+12=17 (because of the minus in front of 12 and in the brackets)
17x3=51
