Answer:
Step-by-step explanation:
[tex]sin^3xcosx+sinxcos^3x\\=sinx cosx(sin^2x+cos^2x)\\=sinx ~cosx(1)\\=sin~x~cos~x[/tex]
if there are 90 calories in 3/4 cup of yogurt, how many calories are in 3 cups of yogurt?
Answer:
360 calories: 90/(3/4)=120
Step-by-step explanation:
I think sorry if im wrong
The functions f and g are defined as follows.
Answer:
f(4) = -14
g(-2) = 22
Step-by-step explanation:
f(x) = -4x+2
Let x = 4
f(4) = -4*4 +2
= -16+2
= -14
g(x) = -3x^3 -2
Let x = -2
g(-2)= -3(-2)^3-2
= -3(-8)-2
= 24-2
=22
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
Here,
f(x)=-4x+2
we have to find the value of f(4)
[tex]\sf{f(4)=-4(4)+2=-16+2=-14 }[/tex]g(x)=[tex]{-3x^3-2 }[/tex]
we have to find the value of g(-2)
[tex]\sf{g(-2)=-3(-2)^3-2 }[/tex] [tex]\sf{ g(-2)=-3(-8)-2 }[/tex] [tex]\sf{g(-2)=24-2=22 }[/tex] More information:-[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c} \\\\{\bf {f(4)}} & {\bf {-14}} \\ \\\\ \text{g(-2)} & \sf{22} \end {array}}}\end{gathered}[/tex]
Jamar has 90 cents in his pocket. One coin is a quarter, and the others are
nickels. How many nickels does he have?
A. 23
B. 65
C. 13
D. 15
Answer:
C. 13
Step-by-step explanation:
Quarters are worth 25 cents each
Nickels are worth 5 cents each
Let n be the number of nickels that Jamar as in his pocket.
We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:
5n + 25 = 90
5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.
We have to isolate the n so we can subtract 25 from both sides to get:
5n = 65
After that we can get n by dividing 5 from both sides:
n = 13
Therefore there are 13 nickels in his pocket.
Let me know if I did anything incorrectly.
The number of nickels he has is 13. The correct option is C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that quarters are worth 25 cents each and nickels are worth 5 cents each.
Let n be the number of nickels that Jamar has in his pocket.
We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:
5n + 25 = 90
5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.
We have to isolate the n so we can subtract 25 from both sides to get:
5n = 65
After that we can get n by dividing 5 from both sides:
n = 13
Therefore, the number of nickels he has is 13. The correct option is C.
To know more about expression follow
brainly.com/question/723406
#SPJ2
PLZ CAN SOMEONE ANSWER THIS !!
Solve the following system of equations
5x + 2y = -16
3x + 7y = 2
**please show work if you can**
thank you in advance :)
Answer:
(-4,2)
Step-by-step explanation:
First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.
Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.
Before:
5x + 2y = -16
3x + 7y = 2
After:
15x + 6y = -48 <----------Now we solve for y
-15x + -35y = -10
+----------------------
-29y = -58
-29 -29
y = 2
Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.
3x + 7y = 2
3x + 7(2) = 2
3x + 14 = 2
-14 -14
----------------------
3x = -12
3 3
x = -4
Therefore our final answer is (-4,2)
Pythagorean Theron can someone help me with this
Answer:
Step-by-step explanation: This means the hypothenuse and the Adjacent are equal b= x thus the double lines indicates and they are opposite to 6
5x + 4 < X-5, when X belongs to Z
Answer:
Step-by-step explanation:
5x+4<x-5
5x-x<-5-4
4x<-9
x<-9/4
x=(-∞,...,-4,-3]
Answer:
Step-by-step explanation:
5X + 4 < X - 5
5x - x < -5-4
4x<-1
4x/4 > -1/4
x>-1/4
The price of a cup of coffee has risen to $2.40 today. Yesterday's price was $2.15. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Thank uuu :))))
Answer:
11.6%
Step-by-step explanation:
(new - old)/(old) = 25/215 = .116 = 11.6%
T is directly proportional to x2. If T=36 and x=3 find the value of t when x = 5
Answer:
[tex]{ \bf{T \: \alpha \: {x}^{2} }} \\ { \tt{T = k {x}^{2} }} \\ { \tt{36 = (k \times {3}^{2}) }} \\ { \tt{k = 4}} \\ \\ { \tt{T = 4 {x}^{2} }} \\ { \tt{T = (4 \times {5}^{2}) }} \\ { \bf{T = 100}}[/tex]
f (x+2)=4x+3, find f(x) and f (2)
.......19 is the answer need any explanation????
Find EH , given that line HF is the perpendicular bisector of EG
Answer:
EH = 5
Step-by-step explanation:
HF is the perpendicular bisector of EG , then
EH = HG = 5
A grocery store recently sold 12 cans of soup, 6 of which were black bean soup. Based on experimental probability, how many of the next 20 cans sold should you expect to be black bean soup?
Answer:
10
Step-by-step explanation:
P(black bean soup) = cans of black bean / total = 6/12 =1/2
out of the next 20
20 *P(black bean)
20 * 1/2 = 10
6. What is the area of APQRbelow?
a) 15.8 m
b) 31.2m
c) 66.4m
d) 16.6m
Answer:
its letter c
Step-by-step explanation:
I hope this help
the coefficient of x in -7xy is a. -7 b.xy c.7y d. -7xy
Answer:
c. -7y
hope it is helpful
help pls pretty pls?
Answer:
6(9+7)
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Anybody know? Because I don’t
Answer:
B
Step-by-step explanation:
(4x^-2)^4
256x^-8
256 * 1/x^8
256/x^8
find the volume of the prism
Answer:
840 cm^3
Step-by-step explanation:
Volume = 8x6 (15-5) + 5 x 12 x 6
= 48 x 10 + 60 x 6
= 480 + 360
= 840
Answered by Gauthmath
help me find the value of x and explain if you can :) thank you!
Answer:
Hello,
Step-by-step explanation:
The two angles are external alternate angles and have the same measure:
2x-3=x+4
2x-x=4+3
x=7
Harley graphs a polygon that is located entirely inside quadrant I. He rotates the figure clockwise 90degree about the origin and then reflects the rotated figure over the x-axis. He translates the resulting figure 3 units to the left and 3 units up. Which best describes the location of the final image?
quadrant I
quadrant II
above the x-axis
left of the y-axis
Answer:
D
Step-by-step explanation:
Got it from the person above me
peter paid $45 for 3 pizzas; victor paid 135 for 8 pizzas and george paid 32 for 2 pizzas. whose pizza cost more
Answer:
The answer is victor
peter paid : 15 for 1 pizza
victor paid : 16.875
George paid : 16
Hope it helps
Answer:
Victors pizza
Step-by-step explanation:
Peter paid 45 for 3 pizzas if we divide that it gives us 15 for each pizza
George paid 32 for 2 pizzas which if we divide it 16 for each pizza
Finally for Victor we just divide 135 by 8 and that gives us 16.875 for each pizza.
If we compare those values the highest is for sure Victors at 16.875 or 16.88 per pizza.
Hope this helps
:)
Find x and explain how you found it
Answer:
42 degrees
Step-by-step explanation:
Since m and n are parallel, that is a transversal
So 24=(x-18) because of exterior angle property
so x - 18 = 24
We bring - 18 to the other side so it becomes + 18
x = 24 + 18
x = 42
Help on number 10 pls
9514 1404 393
Answer:
(D) 9/5
Step-by-step explanation:
One way to work this problem is to find % per cup for cereal and cups per % for milk, then multiply the product of those by 2.
The way we'll use here is to find the ratio of cups of milk to cups of cereal for the same % RDA.
We're given an amount of milk that has 25% of the RDA, but we want to find an amount that has 15% RDA. That amount of milk will be ...
(15%)/(25%)(1 cup milk) = 3/5 cup milk
This tells us that 3/5 cup milk has the same %RDA as 2/3 cup cereal. That ratio is ...
milk/cereal = (3/5)/(2/3) = (3/5)(3/2) = 9/10 cup of milk per cup of cereal
Then for 2 cups of cereal, we need ...
(9/10)(2 cups cereal) = 9/5 cups milk . . . . matches choice D
a box has a length of 6x inches the width equals one third the length and the height equals half the length. if the volume equals 972 cubic inches, what does x equal will give 100 points and brainly
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
a box has a length of 6x inches
l=6xthe width equals one third the length
w=[tex]\sf{\dfrac{1}{3}×6x }[/tex] w=2xthe height equals half the length.
h=[tex]\sf{\dfrac{1}{2}×6x }[/tex] h=3xwe know that,
Volume of a rectangle box=l×w×h
According to the question,
if the volume equals 972 cubic inches,
l×w×h=volume6x × 3x × 2x=972 36x^3=972 cubic unitx=972/36x=27Therefore:-
The value of x is 27.
a box has a length of 6x inches
so,
l=6xBut,the width equals one third the length
[tex]w=\dfrac{1}{3}×6x[/tex]w=2xagain,the height equals half the length.
[tex]h=\dfrac{1}{2}×6x[/tex]h=3xwe knows:-Volume of a rectangle box=l×b×h
From the question,
if the volume equals 972 cubic inches,
l×w×h=volume6x × 3x × 2x=97236x^3=972 cubic unitx=972/36x=27Final answer.°.The value of x is 27.
Las dimensiones de un paquete de galletas son 2 cm x 0.75 cm x 25 cm. Cuántos paquetes de galletas caben en una caja cuyas dimensiones son 2 cm de ancho, 75 cm de largo y 2.5 cm de alto?
may i have some help with 9? thanks :)
#9. C
A negative sign on the outside of the function indicates a reflection in the y-axis.
A negative sign on the inside of the function (attached to the x) indicates a reflection in the x-axis.
Hope this helps!
In her employee benefits meeting, Yin has been taking notes as her human resources manager presents the 529 savings plan offered by her employer.
Select the text in Yin’s summary of 529 plans that is not accurate.
States offer 529 plans to help save for college expenses. They invest money in mutual funds, and I won’t have to pay federal taxes on the earnings from the investment. A prepaid 529 plan will allow me to pay tuition in advance at current tuition rates. This is huge! Especially, since tuition rates continue to increase every year. 529 plans have restrictions, but there’s no penalty if withdrawals are made for non-education-related expenses. I can shop around for 529 plans, but my company does sponsor a plan if, or when, I decide to choose one.
Answer:
there is no penalty if withdrawals are made for non-educational related expenses.
Step-by-step explanation: This part of Yin's summary is not accurate.
14. The following solution contains errors. Identify the errors and explain why they are incorrect.
Explain what should have been done to answer the question properly.
For problems 1 - 4, write a two-column proof.
Answer:
Solution given:
1:
<5=<6
<5+<4=180°[co interior angle]
Substituting value of<5
<6+<4=180°[it shows a property of co interior angle]
So
l || m
2:
<1=90°[ l is perpendicular to t]
<2=90°[m is perpendicular to t]
since
<1=<2[shows property of corresponding angle]
:.
l || m.
3:
<1=<2
<1=<3
substituting value of<1 in second one
<2=<3[which shows property of alternate Angel]
So
Segment ST || segment UV.
4:
<RSP=<PQR......[I]
<QRS+<PQR=180°.....[ii]
from equation I and ii we get
<RSP+<QRS=180°[which shows property of co interior angle ]
So
Segment PS || segment QR
These pictures are the questions given in the pdf, let's get the solutions.
1) Solution
It is given that,
→ <5 = <6
Then the co interior angles,
→ <5+ <4 = 180°
Now substituting value of <5,
→ <6+ <4 = 180°
This shows property of co interior angle.
Therefore, L II m.
2) Solution
Take it as,
→ <1= 90°
In above eq. L is perpendicular to t.
→ <2 = 90°
In above eq. m is perpendicular to t.
Then it will be,
→ <1 = <2
It shows property of corresponding angle.
Therefore, L II m.
3) Solution
It is given that,
→ <1 = <2 and <1 = <3
Now substitute,
The value of <1 in second one,
→ <2 = <3
This shows property of alternate angle.
Therefore, ST II UV.
4) Solution
It is given that,
→ <RSP = <PQR --- (1)
→ <QRS + <PQR = 180° --- (2)
Now from the equation (1) and (2),
→ <RSP + <QRS = 180°
It shows property of co interior angle.
Therefore, PS II QR.
can someone help me understand this.
Answer:
easy-peasy
Step-by-step explanation:
Perimeter:
P=2(a+b)
P=2(50+70)
P=2(120
P=240
Area:
A=50*70
A=3,500
I really hope it helped:)
Answer:
Step-by-step explanation:
Perimeter is the measure around the outside of the field while area is a measure of what's inside the field. The field has 2 long straight lengths of 120 m each, so now we just need to find the circumference of the whole circle that is made by sticking each of the 2 rounded ends together. The circumference of the whole circle (both rounded ends stuck together) is
C = πd and
C = (3.1415)(50) so
C = 157.075
Now we add in the 2 straight edges of the field to get the perimeter:
P = 120 + 120 + 157.075 and
P = 397.075 m
The area requires that we find the composite area: that is, the area made up by the rectangle measuring 120 x 50, and the area of the circle that is made up of the 2 rounded ends.
The area of the rectangle is length times width: A = 120(50) so A = 6000
The area of the circle is [tex]A=\pi r^2[/tex] so [tex]A=(3.1415)(25)^2[/tex] and the area of the circle is 1963.495.
Add these 2 areas together to get the area of the whole field:
6000 + 1963.495 = 7963.495 meters squared
Find x Round your answer to the nearest integer.
A. 7
B. 8
C. 6
D. 5
Answer:
B
Explanations
in this case the hypotenuse is 10,x is the adjacent side of the angle 37
therefore you have to use cos
cos37=x/10
x=7.9
=8
I hope this helps
if y=40x Squared.. Find y when x=0
Answer:
y = 0
Step-by-step explanation:
Substitute x = 0 into the equation
y = 40x² , then
y = 40 × 0² = 40 × 0 = 0