Answer:
m = 12Step-by-step explanation:
If p varies jointly as m and r, then;
p = kmr
k is the proportionality constant
Given that p = 180, m = 5 and r = 8
180 = k(5)(8)
180 = 40k
k = 180/40
k = 4.5
To get m when p = 324 and r = 6
324 = 4.5(m)(6)
324 = 27m
m = 324/27
m = 12
Hence the value of m is 12
Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
If (44)x = 432, what is the value of x?
Answer:
x= 9.81... repeating
Step-by-step explanation:
Divide 44 to isolate x.
(44)x = 432
x= 432/44
x= 9.818
Or if you want a fraction,
x= 108/11
Answer:
9.81
Step-by-step explanation:
The decimal is repeating by the way.
Divide 432 by 44 to get 9.81 (a repeated decimal)
Help me with this pls
what's
[tex] \alpha + \beta [/tex]
if
[tex] \alpha = 1 \: and \: \beta = 2[/tex]
Answer:
3
Step-by-step explanation:
1+2 = 3
I hate these type of qn
lol
Two ships are near a buoy in the open ocean. One ship is 20 km due north of the buoy, and the other ship is 13.5 km due east of the buoy.
Round the answer to the nearest tenth.
Answer:
24 km is your answer
Step-by-step explanation:
Let x be the distance between the two ships.
Hypotenuse side = x km
Adjacent side = 13.5 km
Perpendicular side = 20 km
by using Pythagoras theorem:
x²= 13.5²+ 20²=582.25
x=√ 582.25
х =24.129857024 km
Therefore, the distance between two ships to the nearest tenth place is, 24.1 km
Jessica picks tomatoes in her garden. She fills several bags. This line plot shows the weight of each bag.
How many more pounds does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
1 1/4 is the answer
Step-by-step explanation:
what is the answer to the problem 5p-14=8p+4
Answer:p=-6
Step-by-step explanation:
I NEED HELP ILL GIVE BRAINLEST
Answer:
5,0
10,0
( I'm sorry if this wasn't helpful to you) ;(
algebraically find the x-coordinates where the line y=2x+3 intersects the circle (x-3)^2 + (y+6)= 50
** please help its due soon **
Answer:
x = {-4, -2}Step-by-step explanation:
To find the intersection we need to solve the system:
y = 2x + 3(x - 3)² + (y + 6)² = 50Solve by substitution, replace y with 2x + 3 in the second equation:
(x - 3)² + (2x + 3 + 6)² = 50x² - 6x + 9 + 4x² + 36x + 81 - 50 = 05x² + 30x + 40 = 0x² + 6x + 8 = 0x² + 6x + 9 = 1(x + 3)² = 1x + 3 = ± 1x = -4, x = -2plz plz help plz plz
Answer:
1
Step-by-step explanation:
when dividing numbers with exponents with the same base, subtract the exponents.
[tex]\frac{8^{7} }{8^{7} }[/tex]
7 - 7 = 0
[tex]\frac{8^{7} }{8^{7} }[/tex] = [tex]8^{0}[/tex]
anything to the power of 0 is 1
[tex]8^{0}[/tex]= 1
Answer:
1
Step-by-step explanation:
Any number divided by itself equals 1 with the exception of 0 since 0/0 is undefined.
8^7 is not equal to zero, so without doing any calculations or using any other rules, we know that
8^7/8^7 = 1
We can use the rule of exponents for dividing powers.
Rule:
[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]
Here we have a = 8, m = 7, and n = 7.
Applying the rule, we get
[tex] \dfrac{8^7}{a^7} = 8^{7 - 7} = 8^0 [/tex]
Another rule of exponents:
[tex] a^0 = 1 [/tex]
We the zero power rule now:
[tex] 8^0 = 1 [/tex]
Therefore,
[tex] \dfrac{8^7}{a^7} = 1 [/tex]
Answer: 1
David has 48 baseball cards. Toby has 25% more cards than David. How many cards does Toby have?
Answer:
he has 60
Step-by-step explanation:
25% of 48 is 12, he has 12 more cards then david
Write an equation in Standard form for a line that goes through the points
(-2,-6) and (3, 4).
Reflect across the y-axis. Fill in the new coordinates below:
Answer:
A(-1,2)
B(-4,4)
C(-3,1)
Step-by-step explanation:
simply reflect across the y-axis. pls give brainliest
At a taffy pull, George stretched the taffy to 3 feet. Jose stretched it 1_ 1 3 times as far as George. Maria stretched it _ 2 3 as far as George. Sally stretched it _ 6 6 as far. Who stretched it the farthest? The least?
Answer:
Jose stretched the taffy the farthest and Maria stretched it the least
Step-by-step explanation:
Distance stretched by George = 3 feet
Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so
[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]
Distance stretched by Jose is [tex]4\ \text{feet}[/tex]
Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George
[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]
Maria stretched the taffy by [tex]2\ \text{feet}[/tex]
Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]
So, Jose stretched the taffy the farthest and Maria stretched it the least.
Heather Johnson bought a new set of tires for $436.00 and a car seat for $22.85. The state tax rate is 6%, the county tax rate is 1.5%, and the city tax rate is 0.5%. What is the total purchase price?
Answer:
$495.56
Step-by-step explanation:
Tax increases the price paid for a good or service. So, the total price paid for the goods would increase by the total amount of tax
Sum of the three taxes = 6% + 1.5% + 0.5% = 8%
Total cost of items purchased = $436 + $22.85 = $485.85
Total purchase price = Total cost of items purchased x (1 + total tax)
$485.85 x (1.08) = $495.56
Plz help I will give Brainlyest plz help fast
Write the expression as a single logarithm.
4logb^y + 3logb^x
Answer:
b
Step-by-step explanation:
The value of X is .... Each of the two angles in the diagram measures ....
Answer:
x=4
Step-by-step explanation:
17x-4+12+15x
combine like terms
32x+8= 4
find the value of x. Thanks!!
Find the volume of the trapezoidal prism below.
6 cm
5 cm
12 cm
7.5 cm
an element with mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
Step-by-step explanation:
Total Depreciation: 60.24%
Total depreciation: $9,759.50
Car Value after 6 years: $6,440.50
The element is remaining 146.6 grams after 7 minutes, to the nearest 10th of a gram.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
An element with mass 630 grams decays by 18.8% per minute.
That means, 18.8% = 0.188
Here, we will use the exponential decay function.
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Here,
A₀ = 630 grams
r = 0.188
x = 7 minutes
Substituting the values to the formula,
A₇ = 630(1-0.188)⁷
A₇ = 630(0.812)⁷
A₇ = 630(0.23275134787)
A₇ = 146.633
A₇ = 146.6 grams.
Therefore, element is remaining 146.6 grams.
To learn more about the exponential decay;
https://brainly.com/question/14344314
#SPJ2
NEED ANSWER SUPER FAST!
Sara’s ice cream looks pretty normal. It is shaped like a cone topped with a half-sphere. The cone
has a height of 9 in and a radius of 4 in.
What is the approximate volume of the whole shape? Round your answer to the nearest tenth. Use
3.14 to approximate pi. (Show your work.)
THE ANSWER IS THE VOLUME IS 150.8 INCHES CUBED !!!!!
You have 20dollar sign, 20 to spend on taxi fare. The ride costs $5dollar sign, plus $2.50 sign, per kilometer. Write an inequality to determine the distance in kilometers, d, you can ride for $20dollar sign, 20.
Answer:
20=5+2.5d
Step-by-step explanation:
Find the value of x.
Answer:
6
Step-by-step explanation:
Because they are the same
If f (x) = x-5 and g(x) = 4x what is the value off [g(4)]?
Step-by-step explanation:
f[g(4)]
g(x) = 4x
g(4) = 4(4)
= 16
f(x) = x-5
f[g(4)] = f(16) = 16 - 5 = 11
So, f[g(4)] = 11
A. f(x) =1/2 (4,000)^x
B. f(x) = 4,000(2)^x
C. f(x) = 2,000 (1/2)^x
D. f(x) = 4,000 (1/2)^x
P(x) =0.02x³+0.04x²+0.3x+1.2.Evaluate P(18) by direct substitution and by applying the remainder theorm
Answer:
136.2
Step-by-step explanation:
Plugin x = 18 in the polynomial.
P(x) = 0.02x³ + 0.04x² + 0.3x + 1.2
P(18)= 0.02*(18)³ + 0.04*(18)² + 0.3*18 + 1.2
= 0.02 * 5832 + 0.04*324 + 5.4 + 1.2
= 116.64 + 12.96 + 5.4 + 1.2
= 136.2
1/4 of 6 feet is how many inches
Answer:
18 inches
Step-by-step explanation:
1 ft = 12 in
6 ft = ? in
Set up an equation to convert 6 feet into inches
Variable x = number of inches
1 ft/12 in = 6ft/x in
Cross multiply (feel free to ignore units for now so it doesn't get in the way of your calculations)
1 × x = 12 × 6
1x = 72
x = 72 inches
6 feet = 72 inches so replace 6 feet with 72 inches
Now let's find 1/4 of 72 inches
Set up another equation to solve
Variable y = a fourth of seventy two inches
1/4 = y/72
Cross multiply
1 × 72 = 4 × y
72 = 4y
Divide both sides by 4 to isolate variable y
72 ÷ 4 = 4y ÷ 4
18 = 1y
18 = y
Answer:
I know I already said this but
18 inches
Step-by-step explanation:
:)) have a great day!
A 10 METER PIECE OF WIRE IS CUT IN TO TWO PIECES ONE PIECE IS 2 METERS LONGER THAN THE OTHER HOW LONG ARE THE PIECES
one piece is 2m
one is 8m
The money Sky makes from babysitting is directly proportional. After 4 hours, she makes $72. How much money would she make after 7 hours?
A) $72
B) $52
C) &126
D) $108
Answer:
C. $126
Step-by-step explanation:
Let us say x is the amount of money Sky makes for babysitting 7 hours.
[tex]\frac{72}{4} =\frac{x}{7}[/tex]
[tex]\frac{72}{4} = 18[/tex]
[tex]18=\frac{x}{7}[/tex]
x=$126
Circle the volume, in cm^3, of a cylinder with radius 5 cm and height 8 cm
[1 mark]
A)40π
B)80π
C)200π
D)1600π
Answer:
C
Step-by-step explanation:
Volume of a cylinder is πr²h
V = π * 5² * 8
V = π * 25 * 8
V = π * 200
V = 200π