Subtract to find how much was spent on coffee:
90 - 47.65 = 42.35
Divide what was spent by the price per pound:
42.35 / 8.47 = 5
They bought 5 pounds of coffee
PLS HELP ME I WILL MARK THE BRAINIEST 50 POINTS!!!!!!
Answer:
Done. Check comments
Step-by-step explanation:
Inscribed angles are half the measure of the intercepted arcs. This example shows major arc BEA being intercepted by the supplement of 74, which is 106. If you double that, you get the arc, 212.
The next example shows 80 and 154 are intersected by two chords. The angle created by that intersection is the average of the two intercepted arcs. 117.
When two secant lines intersect, they form an angle that is half the measure of the DIFFERENCE of the intercepted arcs. 145 - 53 = 92/2 = 46.
This is similar to the previous one. Except the difference is between 263 and 97. ACTUALLY, I MADE AN ERROR on the comment about this one.
263-97 = 166/2 = 83***
Write the polar equation 0= pi/3
Answer:
1
(
π
3
)
)
Step-by-step explanation:
Explanation:
Substitute
tan
(
y
x
)
for
θ
tan
(
y
x
)
=
π
3
Obtain
y
x
on the left by using the inverse tangent on both sides:
tan
−
1
(
tan
(
y
x
)
)
=
tan
−
1
(
π
3
)
y
x
=
tan
−
1
(
π
3
)
Multiply both sides by x:
y
=
(
tan
−
1
(
π
3
)
)
x
[tex]y+2=(x^2/2)-2sin(y)[/tex]
the assumption being that "y" is encapsulating a function in "x" terms.
[tex]y+2=\cfrac{x^2}{2}-2sin(y)\implies \stackrel{\textit{taking the derivative to both sides}}{\cfrac{dy}{dx}+0=\cfrac{1}{2}(2x)\underset{chain~rule}{-2cos(y)\cdot \cfrac{dy}{dx}}} \\\\\\ \cfrac{dy}{dx}=x-2cos(y)\cfrac{dy}{dx}\implies \cfrac{dy}{dx}+2cos(y)\cfrac{dy}{dx}=x \\\\\\ \cfrac{dy}{dx}\left[ 1+2cos(y) \right]=x\implies \cfrac{dy}{dx}=\cfrac{x}{1+2cos(y)}[/tex]
Researchers are recording how much of an experimental medication is in a person's bloodstream every hour. they discover that half-life of the medication is about 6 hours.
By using the known half-life, we can see that if the initial dose is 500mg, after 4 days the medication will be 0.0076 mg.
What is the half-life?
We define half-life as the time such that the initial amount is reduced to its half.
So, if a given substance has a half-life T, then the amount of substance as a function of time, we have:
S(t) = A*e^{-t*ln(2)/T}
Where t is the variable in time units.
We know that T = 6 hours, and A, the initial dose, is 500 mg, so the formula is:
S(t) = 500mg*e^{-t*ln(2)/6h}
Then after 4 days (or 4*24h = 96h) the amount of medication is:
S(96h) = 500mg*e^{-96h*ln(2)/6h} = 0.0076 mg.
If the initial dose was 750mg, after 4 days the person would have:
S(96h) = 750mg*e^{-96h*ln(2)/6h} = 0.0114 mg
So the person would have:
0.0114 mg - 0.0076 mg = 0.038 mg more of medication.
If you want to learn more about the half-life, you can read:
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5-2x > 3x-10
Solve the inequality
Answer:x<3 that shout be right. I calculated it.
Step-by-step explanation:
Hello people ~
what's the sum of 7th odd number & 13th even number?
Answer:
13+26=39
Step-by-step explanation:
the 7th odd number is 13 and 13th even is 26
Answer:
[tex]\displaystyle 39[/tex]
Step-by-step explanation:
[tex]\displaystyle 39 = 13 + 26 \Rightarrow 39 = 13 + 2[13][/tex]
On a hundred chart, you will see that the seventh odd number is [tex]\displaystyle 13,[/tex]and the thirteenth even number is self-explanatory, so you should know what occurs there.
I am joyous to assist you at any time.
by finding tan θ in 2 different triangles find the value of m
Answer:
m = 3.75
Step-by-step explanation:
tanθ = 3/4θ = 37°⇒ Angle opposing 3 in the left triangle is 53°
sin53° ⇒ 4/5 = 3/m4m = 15m = 15/4m = 3.75he negative square root of 16 is -4. What is the square root of -16?
About the minus sign with 16, square root of -1 is an imaginary number i(iota). Also we know that square root of -16 will be multiplication of square root of -1 and square root of 16. So the final answer becomes, + or - 4i. Hope this helps
Directions: Calculate the area of a circle using 3.14x the radius
1) d = 4.4 mm.
Calculate the area of the circle.
2) d = 3.7 cm.
Calculate the area of the circle.
3) r= 8.3 cm.
Calculate the area of the circle.
4) d = 5.8 yd.
Calculate the area of the circle.
5) d = 1 yd.
Calculate the area of the circle
6) r = 8 ft.
Calculate the area of the circle
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know ~
Area of the circle is :
[tex]\qquad \sf \dashrightarrow \:\pi {r}^{2} [/tex]
And radius (r) = diameter (d) ÷ 2
[ radius of the circle = half the measure of diameter ]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Problem 1[tex]\qquad \sf \dashrightarrow \:r = d \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:r = 4.4\div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:r = 2.2 \: mm[/tex]
Now find the Area ~
[tex]\qquad \sf \dashrightarrow \: \pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times {(2.2)}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times {4.84}^{} [/tex]
[tex]\qquad \sf \dashrightarrow \:area \approx 15.2 \: \: mm {}^{2} [/tex]
・ ．━━━━━━━†━━━━━━━━━．・
problem 2[tex]\qquad \sf \dashrightarrow \:r = d \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:r = 3.7 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:r = 1.85 \: \: cm[/tex]
Bow, calculate the Area ~
[tex]\qquad \sf \dashrightarrow \: \pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times (1.85) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times 3.4225 {}^{} [/tex]
[tex]\qquad \sf \dashrightarrow \:area \approx 10.75 \: \: cm {}^{2} [/tex]
・ ．━━━━━━━†━━━━━━━━━．・
Problem 3[tex]\qquad \sf \dashrightarrow \:\pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times (8.3) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times 68.89[/tex]
[tex]\qquad \sf \dashrightarrow \:area \approx216.31 \: \: cm {}^{2} [/tex]
・ ．━━━━━━━†━━━━━━━━━．・
Problem 4[tex]\qquad \sf \dashrightarrow \:r = d \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:r = 5.8 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:r = 2.9 \: \: yd[/tex]
now, let's calculate area ~
[tex]\qquad \sf \dashrightarrow \:3.14 \times {(2.9)}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times 8.41 [/tex]
[tex] \qquad \sf \dashrightarrow \:area \approx26.41 \: \: yd {}^{2} [/tex]
・ ．━━━━━━━†━━━━━━━━━．・
problem 5[tex]\qquad \sf \dashrightarrow \:r = d \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:r = 1 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:r = 0.5 \: \: yd[/tex]
Now, let's calculate area ~
[tex]\qquad \sf \dashrightarrow \:\pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times (0.5) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times 0.25[/tex]
[tex]\qquad \sf \dashrightarrow \:area \approx0.785 \: \: yd {}^{2} [/tex]
・ ．━━━━━━━†━━━━━━━━━．・
problem 6[tex]\qquad \sf \dashrightarrow \:\pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times {(8)}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:3.14 \times 64[/tex]
[tex]\qquad \sf \dashrightarrow \:area = 200.96 \: \: yd {}^{2} [/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
HELLPP
The rectangle shown is to be dilated by a scale factor of 3.5.
(a) Calculate the length of each side of the dilated image. Show your calculations for each side length.
(b) Draw the new image and label it
A B D C . (It does not have to be to scale)
Answer:
Answer:
long side/length is 63 cm and short side/height is 28 cm
Step-by-step explanation:
18 x 3.5 and 8 x 3.5
To dilate means to grow so you grow the side by 3.5
i need help) Han and Clare go shopping, and they each have a coupon. Answer each question and show your reasoning.
1.Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon?
2.Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this coupon?
The amount of money that Han saves by using a coupon is $1.5%
The percentage off Clare's purchase with the coupon is 25%
How much did Han save?
A coupon reduces the price at which an item is sold
Amount saved = coupon discouunt x normal price
10% x $15
0.1 x $15 = $1.5
What is the percent off Clare's coupon?
Percent off = (6/24 x 100 = 25%
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Use the equation, (1/27)^x = 3^-4x+6, to complete the following problems
(a) Rewrite the equation using the same base.
(b) Solve for x. Write your answer as a fraction in simplest form.
Answer:
[tex]\sf 3^{-3x}=3^{(-4x+6)}[/tex]
[tex]\sf x=6[/tex]
Step-by-step explanation:
[tex]\sf Given \ equation: \left(\dfrac{1}{27}\right)^x=3^{(-4x+6)}[/tex]
[tex]\sf As \ \dfrac{1}{27}=\dfrac{1}{3^3} \ and \ \dfrac{1}{a^b}=a^{-b} \ then \ \dfrac{1}{27}=3^{-3}[/tex]
Therefore, we can rewrite the given equation with base 3:
[tex]\implies \sf (3^{-3})^x=3^{(-4x+6)}[/tex]
Apply the exponent rule [tex]\sf (a^b)^c=a^{bc}[/tex] :
[tex]\implies \sf 3^{-3x}=3^{(-4x+6)}[/tex]
[tex]\sf If \ a^{f(x)}=a^{g(x)} \ then \ f(x)=g(x)[/tex]
[tex]\implies -3x=-4x+6[/tex]
Add 4x to both sides to solve for x:
[tex]\implies \sf x=6[/tex]
Phoebe spent $12.87 at the bookstore. She paid with a $20 bill. How much is her change?
Answer:
7.28 in change
Step-by-step explanation:
When she used 20 bucks it gave her 7.28 cents.
Craig went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for
each game. What was the greatest number of games Craig could have played?
Answer:
craig had played approx 5 games..
Step-by-step explanation:
25 is the amount which craig have. 25-5.2=19.9 and when we divide 19.9 with 4 ie. 19.9÷4 = 4.9
the 6th term is 22 and the common difference is 6
Answer:
I have no idea what are you talking about......
The number of radians in a 540540540-degree angle can be written as a\piaπa, pi, where aaa is a constant, what is the value of aaa ?
Using proportions, it is found that the value of a is of 3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, a 180º angle has a measure of [tex]\pi[/tex] radians. What is the measure of a 540º angle? The rule of three is given by:
180º - [tex]\pi[/tex] rad.
540º - x [tex]\pi[/tex] rad.
Applying cross multiplication:
180x = 540.
x = 540/180 = 3.
The value of a is of 3.
More can be learned about proportions at https://brainly.com/question/24372153
Using proportions, the value of a is 3.
What is proportion?Proportion is a mathematical comparison between two numbers.
When going from degrees to radians, 180 degrees is always going to equal π radians.
The conversion of angle from radian to degree;
[tex]\rm 180-\ 1 \\\\540-a[/tex]
The value of a is;
[tex]\rm \dfrac{180}{540}=\dfrac{1}{a}\\\\\dfrac{1}{3}=\dfrac{1}{a}\\\\1 \times a=1\times 3\\\\a=3[/tex]
Hence, the value of a is 3.
Learn more about proportions at;
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#SPJ4
A math class consists of 10 girls and 8 boys. The teacher wants to choose 2 girls and 2 boys to go on a trip. How many different groups could the teacher choose?
A. 5040
B. 3060
C. 1260
D. 73
Answer:1260
Step-by-step explanation: photo of the graded question attached
A math class consists of 10 girls and 8 boys. The teacher wants to choose 2 girls and 2 boys to go on a trip. How many different groups could the teacher
choose?
x3060
073
5040
1260
If the circumference of a circle is 220 cm, find its diameter and area
please correct answer
Step-by-step explanation:
C = 2 Pi R = 220
R = 220 / 2 pi = 35 cm
diameter = 35 x 2 = 70 cm
Area = pi r² = pi 35² = 3848.45 cm
What is the standard form of the equation of a circle given by x2 y2 – 18x 8y 5 = 0? ( )² ( )² =
The standard form of the given equation [tex]x^2+y^2-18x+8y+5=0[/tex] will be given as [tex](x-9^2)+(y+4)^2=(2\sqrt{23} )^2[/tex]
What is the equation of a circle?The general form of the equation of the circle is given as
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We have the equation
[tex]x^2+y^2-18x+8y+5=0[/tex]
By adding 81 and 16 on both sides
[tex]x^2-18x+81+y^2+8y+16=-5+81+16[/tex]
[tex](x-9)^2+(y+4)^2=92[/tex]
[tex](x-9)^2+(y+4)^2=(2\sqrt{23})^2[/tex]
Thus the standard form of the given equation [tex]x^2+y^2-18x+8y+5=0[/tex] will be given as [tex](x-9^2)+(y+4)^2=(2\sqrt{23} )^2[/tex]
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Answer:
x-9, y+4, & 92
Step-by-step explanation:
i did it
which is the answers
Answer:
1. any number from 42 to 68
e.g 52
2. any number less than 42 or greater than 68
e.g 76
solve 3x-1=5x+7
Please help
Answer:
[tex]3x - 1 = 5x + 7 \\ \\ 5x - 3x = 7 + 1 \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ x = 4[/tex]
# Jerry Don is here#
the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and solve a system of equations to find the dimensions of the rectangle.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~
Now, Perimeter of rectangle is :
[tex]\qquad \sf \dashrightarrow \:2(l + w) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:2(3x + 8 + x) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:2(4x + 8) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:4x + 8 = 56 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:4x + 8 = 28[/tex]
[tex]\qquad \sf \dashrightarrow \:4x = 28 - 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 20\div 4[/tex]
[tex]\qquad \sf \dashrightarrow \:x =5 \: cm[/tex]
Hence, width = x = 5 cm
[tex]\qquad \sf \dashrightarrow \:l = 3w + 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 3(5)+ 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 15+ 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l =23 \:cm[/tex]
And, length = 26 cm
What is the volume?
2 cm
2 cm
2 cm
cubic centimeters
Answer:
V = 8 cm³
Step-by-step explanation:
the volume (V) of a cube is calculated as
V = s³ ( s is the side length )
here s = 2 , then
V = 2³ = 8 cm³
Answer:
8 cm
Step-by-step explanation:
length = 2 cmbreadth = 2 cmheight = 2 cmvolume = L*b*h = 2*2*2 = 8 cmThe length of a square is 3x - 4 units. Find the area in terms of x.
Answer:
9x^2 - 24x + 16 is area in terms of x alternativly (3x-4)^2 is also true
Step-by-step explanation:
L * W = area length = width on a sqare so L * L = area too
(3x - 4) * (3x - 4)
use foil method
9x^2 - 24x + 16
Answer:
9x^2 − 24x + 16
Step-by-step explanation:
To find the area of a square, you use the formula
A = x^2
So we plug in 3x-4 for x
A = (3x-4)^2
A = 9x^2 − 24x + 16
4x : 3 = 6 : 5
Calculate the value of x.
Answer:
x = 9/10
Step-by-step explanation:
This problem features a ratio: 4x/3 = 6/5
By cross multiplying you get that 4x*5 = 3*6 or 20x = 18. By dividing both sides by 20, you get that x = 18/20, and when simplified, 9/10.
-2x + 22 < 18
It is an inequality
Answer:
Solving for x;
-2x + 22 < 18
Get rid of constants:
-22 -22
-2x < -4
Isolate x, by dividing by -2 from both sides since the inverse operation of multiplication is division, and remember when dividing or multiplying by negative integers, you flip the inequality symbol around:
÷-2 ÷-2
x > 2
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x > 2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}[/tex]
Given:
-2x + 22 < 18
Solve:
[tex]\mathrm{Subtract\:}22\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x+22-22 < 18-22[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-2x < -4[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-2x\right)\left(-1\right) > \left(-4\right)\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]2x > 4[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2} > \frac{4}{2}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x > 2[/tex]
~Lenvy~
Which one is it? Im stumped.
Answer:
rational
Step-by-step explanation:
Hope this helps!
If not I am sorry
let's keep in mind that that same/same = 1 always, so then we can say
[tex]\cfrac{spaghetti}{spaghetti}~~ = ~~\cfrac{hippopotamus}{hippopotamus}~~ = ~~\cfrac{meatballs}{meatballs}~~ = ~~\cfrac{dog}{dog}~~ = ~~\cfrac{0.\overline{55}}{0.\overline{55}}~~ = ~~\textit{\huge 1}[/tex]
well, "1" is a whole number
"1" is also an integer oddly enough
"1" can be written as a ration like 1/1, so is also rational.
Select the correct answer.
Which number is an irrational number?
A.
B.
C.
D.
Answer:
you do not have any numbers, only letters so I cannot answer your question. sorry...
Step-by-step explanation:
Select the correct answer.
Which number is an irrational number?
A.
B.
C.
D.
MARKING BRAINLEIST IF CORRECT
Answer:
A) (-5,0) and (-4,0)...
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]
X - intercepts are the points where the curve cuts x - axis ~
for the given curve (parabola), the intercepts are :
[tex]\qquad \sf \dashrightarrow \:(-5,0) \: \: and \: \: (-4, 0)[/tex]
The Correct choice is A
[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]
Julia’s gross pay was $4,500 last year. the federal income tax withholding from her pay was 13% of her gross pay. julia determined the federal income tax she owes is $495. how much of a refund can julia expect? $64.35 $90.00 $430.65 $585.00
The amount of the refund Julia gets as a federal income tax will be $90.
What will be Julia's refund?It is given in the question:
Julia's gross pay = $500
federal income tax withholding from her pay was 13% of her gross pay
federal income tax she owes is = $495
To find out the refund we will first find the amount of Federal income which is 13% of the gross pay.
[tex]\rm federal \ amount =\dfrac{4500\times 13}{100} =585[/tex]
The refund Julia will get will be
[tex]=585-495=90[/tex]
Hence the amount of the refund Julia gets as a federal income tax will be $90.
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