Answer:
First Number: 2
Step-by-step explanation:
You need to work backwards, as an algebraic equation.
24 ÷ 3 = 8
8 ÷ 2 = 4
4 × 2 = 8
8 - 6 = 2
The first number is 2.
- Educationist
(h+1)^2=16 solve using square root property
Answer: h = 3
Step-by-step explanation:
(h+1)² = 16
h+1 = √16
h+1 = 4
h = 3
Hope this helped :)
Answer:
[tex]h=3, \ h=-5[/tex]
Step-by-step explanation:
[tex](h+1)^2=16[/tex]
[tex](h+1)^2=16[/tex]
[tex]\sqrt{(h+1)^2} = \±\sqrt{16}[/tex] <== you take the square root of both sides
[tex](h+1) = \±\ 4[/tex] <== you take the square root of both sides
[tex](h+1) = +\ 4, \ (h+1) = -\ 4[/tex] <== separate into 2 equations and solve
[tex]h+1 = 4, \ h+1 = -\ 4\\\\. \ -1 -1, \ \ \ \ -1\ \ \ \ -1\\\\h=3, \ h=-5[/tex]
Hope this helps!
In a student union election of a school, 91% of boys and 84% of girls voted. It is kwon
Answer:
If there are 350 kids for example your answers would be:
Boys: 182
Girls: 168
Step-by-step explanation:
If you add those numbers together you'll get 350 again
Logarithms
Please do not answer with a link, not only can I not access it (nor would I be comfortable doing so) but the answer will be immediately deleted.
Answer:
[tex]\huge\boxed{\sf -2.280}[/tex]
Step-by-step explanation:
Finding value of log₃(4/49):
[tex]\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\[/tex]
Given that:
log₃4 ≈ 1.262, log₃7 ≈ 1.771
Put the values in the above expression
[tex]= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}[/tex]
The function I = $19n represents the amount of income from ticket
sales for a single theater performance. The letter n represents the
number of tickets sold. The theater's maximum capacity is 400
people. What is a reasonable domain for this function?
The function I = 19n is a linear function
The reasonable domain of the function is [0,21]
How to determine the domain?The function is given as:
I = 19n
The smallest value of n is 0 i.e. the smallest number of ticket sold is 0
The maximum capacity is 400.
So, we have:
19n = 400
Divide both sides by 19
n = 21.05
Remove the decimals
n = 21
Hence, the reasonable domain of the function is [0,21]
Read more about domain at:
https://brainly.com/question/1770447
What is x in this equation -3x+7 = 1
Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work
Answer:
Option A
Step-by-step explanation:
Given:
Angle=45°Base= 9hypotenuse = x[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]
[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]
[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]
[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]
ASAP GIVING 5 STARS AND A LIKE AND BRAINLIEST 412 ÷ 10¹
Answer:
Your answer would be:
41.2
10¹ = 10
412 / 10 = 41.2
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 feet wide, 12 feet high, and 45 feet long. The half-cylinder has a diameter of 20 feet.
To the nearest cubic foot, what is the volume of the greenhouse?
The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³
The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³
Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³
The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³
Find out more on volume at: https://brainly.com/question/12410983
Please help! WILL GIVE BRAINLIEST! George and Sarah were building a cone-shaped sand castle. After some time, the diameter of the sand shaped cone was 12 in. and the height was 14 in. What is the approximate volume of the sand cone rounded to the nearest hundreth? (Show your work. Remember you can draw a picture to help you solve the problem). Label your answers with the correct units.
Use 3.14 to approximate pi
Answer:
They kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the approximate volume of the sand cone now? Label your answers with the correct units. (Show your work) Use 3.14 to approximate pi
Answer:
volume = 527.52 in³
volume increased by 30% = 685.776 in³
Step-by-step explanation:
Volume of a cone
[tex]V=\dfrac13\pi r^2h[/tex]
(where r is the radius and h is the height)
Given:
diameter = 12 in ⇒ radius = 6 inheight = 14 in[tex]\pi =3.14[/tex][tex]\implies V=\dfrac13 \cdot 3.14 \cdot 6^2 \cdot 14[/tex]
[tex]\implies V=527.52 \ \sf in^3[/tex]
---------------------------------------------------------------------------
If the volume increases by 30% then it will now be 130% of the original volume.
130% as a decimal = 130/100 = 1.3
Therefore, to find the new volume, multiply the original volume by 1.3.
[tex]\implies V=527.52 \cdot 1.3[/tex]
[tex]\implies V=685.776 \ \sf in^3[/tex]
What is the value of f(g(3))?
Lodine-131 is a very useful radioactive isotope that is used to locate and treat cancerous tumors in the body and has a half life of 8 days. If a radiologist were to use 64 mg of this isotope, how much of it would still be left after 32 days?
Using an exponential function, it is found that 4 mg of the substance would still be left after 32 days.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, considering that the initial amount if of 64 mg, and we are working with half-lifes, the equation is given by:
[tex]A(t) = 64(0.5)^t[/tex]
32 days is 32/8 = 4 half-lifes, hence the amount remaining in mg is given by:
[tex]A(4) = 64(0.5)^4 = 4[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
can someone please help!!
I need the answer and explanation. Pls don’t waste my points
Answer:
13 [tex]\frac{1}{3}[/tex]% are green
Step-by-step explanation:
totalling the marbles
red = 6
blue = 7
green = 4
orange = 13
total marbles = 6 + 7 + 4 + 13 = 30
fraction of green marbles = [tex]\frac{4}{30}[/tex] = [tex]\frac{2}{15}[/tex]
To change a fraction to a percentage multiply the fraction by 100%
[tex]\frac{2}{15}[/tex] × 100% = 0.1333.. × 100% = 13.33 % = 13 [tex]\frac{1}{3}[/tex]%
help me please‼️‼️ har har har har har
Answer: -63.5 feet per mintue
Step-by-step explanation:
We can look at what the problem is asking for, and solve. It says average change in altitude per minute:
[tex]\frac{altitude}{minute}[/tex] = [tex]\frac{1,524}{24}[/tex] = 63.5 feet per mintue
Since she is hiking down the mountainside, this will be negative. We arrive at our final answer of:
-63.5 feet per mintue
Look at the chart and complete the function rule.
y = 5x + ?
Answer:
Step-by-step explanation:
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
5
b
=
0
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
5
y-intercept:
0
f(x)=-2(x-4)^2 for x=2 evaluate
Let $a_1 a_2 a_3 \dotsb a_{10}$ be a regular polygon. A rotation centered at $a_1$ with an angle of $\alpha$ takes $a_4$ to $a_8$. Given that $\alpha < 180^\circ$, find $\alpha,$ in degrees
Answer:
72°
Step-by-step explanation:
The required angle of rotation can be found by considering the regular polygon to be inscribed in a circle. Each of its 10 vertices will be separated by a central angle of 360°/10 = 36°. So, the vertices a8 and a4 will be separated by a central angle of (8 -4)(36°) = 144°.
The angle a4-a1-a8 is an inscribed angle, so will have half the measure of the central angle intercepting the a4-a8 arc. The desired angle of rotation to map a4 to a8 is ...
α = 144°/2 = 72°
The value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. A polygon's sides or edges are made up of straight-line segments that are joined end to end to form a closed shape. The vertices or corners are the points where two line segments meet, and an angle is generated as a result.
Consider the regular polygon to be inscribed in a circle to get the required angle of rotation.
A center angle of 360°
=360°/10 = 36°
It will separate each of its 10 vertices.
The central angle:
= (8 - 4)×(36°) = 144°
An inscribed angle is a4-a1-a8:
So α will be:
α = 144/2 ⇒ 72°
Thus, the value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1
Learn more about the regular polygon here:
https://brainly.com/question/11810316
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What is the square root of 25
Answer: 5
Step-by-step explanation:
5*5 is equal to 25
Answer:
5
Step-by-step explanation: The square root of 25 is 5 because 5x5=25 or [tex]5^{2}[/tex]=25
Find the length of the wire
Answer:
Step-by-step explanation:
It could be 32m. Maybe, I'm not positive though.
Answer:
Hope you like the answer
Step-by-step explanation:
Mark me as Brilliant if you like the answer
(I WILL GIVE BRAINILEST AND 35 POINTS!)Calculate the Volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube
Answer: the answer is “B”
Step-by-step explanation: answer is LETTER B
Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.
Answer:
3 km/h
Step-by-step explanation:
You want to know the speed of the river current if floating 36 km downstream takes 9 h longer than the trip upstream in a boat with a speed relative to the current of 15 km/h.
TimeThe relation between time, speed, and distance is ...
time = distance / speed
If c represents the speed of the current, then 15-c is the speed upstream. The relation between the travel times is ...
36/(15 -c) = 36/c -9
SolutionMultiplying by c(15-c), we have ...
36c = 36(15 -c) -9(c)(15-c) . . . . . . . multiply by c(15-c)
36c = 540 -36c -135c +9c² . . . . . eliminate parentheses
9c² -207c +540 = 0 . . . . . . . collect terms
c² -23c +60 = 0 . . . . . . . . divide by 9
(c -20)(c -3) = 0 . . . . values that make the factors zero are c=20, c=3
The speed of the current is 3 km/h.
__
Additional comment
The speed of the current cannot be greater than 15 km/h, or the boat could not go upstream. The speed of the current cannot be greater than 4 km/h, or the trip downstream would take less than 9 hours.
<95141404393>
Please help me with this question , we are now just learning it .
Answer:
angle 3 and angle 4 are adjacent angle
What is the area of the shape below?
Answer:
A = 192 units²
Step-by-step explanation:
the figure is a trapezium.
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height between the bases and b₁, b₂ are the bases
here h = 12 , b₁ = 12 , b₂ = 20 , then
A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²
What percentage of take-home pay is spent on expenses? (round to nearest whole percent)
A) 67% B) 68% C) 84% D) 85%
c) 84%
hope this helps :)
85% of take-home pay is spent on expenses option (D)85% is correct.
It is given that in the chart there are various expenses.
It is required to find the percentage of take-home pay is spent on expenses.
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have a total take-home salary = $5388
Total expenses = $4558
In percentage it can be expressed as follows:
[tex]=\frac{4558}{5388}\times100[/tex]
[tex]=0.84595\times100\\\\= 84.595 \ \%[/tex]
or ≈ 85% (round to nearest whole)
Thus, 85% of take-home pay is spent on expenses.
Learn more about the percentage here:
https://brainly.com/question/8011401
hello, can someone answer this question, please show work
Answer:
It's 10(10+3)
Step-by-step explanation:
10x10 is 100 and 3x10 is 30 which gives you 100+30
Answer:
a) 10(10 + 3)
Step-by-step explanation:
Which expresison is equivalent to 100 + 30 (130)?
a) 10(10 + 3)
10(10) + 10(3)
100 + 30 <== equivalent
130
b) 10(10 + 2)
10(10) + 10(2)
100 + 20 <== NOT equivalent
120
c) 5(20 + 25)
5(20) + 5(25)
100 + 125 <== NOT equivalent
225
d) 10(10 + 4)
10(10) + 10(4)
100 + 40 <== NOT equivalent
140
Therefore, the correct answer is 10(10 + 3)
Hope this helps!
If the probability of a basketball player making a shot is 5/12, what is the probability of him not making a shot
Answer:
5 percent of 12 is 0.6
Step-by-step explanation:
Answer:
7/12
Step-by-step explanation:
total = 12/12
p(shot) = 5/12
p(not making shot) = 7/12
because
12/12 - 5/12 = 7/12
Hope this helped!
BIG IDLAS MATH
#19 i
Evaluate the expression. Write your answer in scientific notation.
(6 x 10-3) + 0.23 – (5 x 10-2) =
Answer:
Step-by-step explanation:
9.23
2.1
For her science project Manuerted into degrees Newton by multiplying the number of
is exploring different temperature scales. She has found
degrees Celsius by Suppose she constructed a graph, with degrees Celsius along the
that degrees Celsius can
horizontal axis and degrees Newton along the vertical axis. If she plotted some points
and drew a line through them, which of these statements would be true about the line?
Answer:
123 this is a good idea to make sure you have the best time ever.
help me w this question please
Answer:
2560000 or 2.56*10^6
Step-by-step explanation:
[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]
[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]
[tex]\frac{16777216*15625}{4096*25}[/tex]
[tex]\frac{262144000000}{102400}[/tex]
[tex]2560000[/tex]
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! An inheritance of 2 Million was given to a young professional by his parents. He invested the entire amount in real estate, mutual funds, government bonds, and crytocurrencies.
Answer:
a) 17.5%
b) $150,000
c) 27°
Step-by-step explanation:
Angles around a point add up to 360°.
Therefore, to find the percentage of the portion of the pie chart, divide the degree of the portion by 360° and multiply by 100%
Assuming that Real Estate is half of the circle, and Mutual Funds are a quarter of the circle.
a) Government Bonds = (63° ÷ 360°) x 100% = 17.5%
b) Crypto Currency = 90° - 63° = 27°
Therefore, (27° ÷ 360°) x 100% = 7.5%
7.5% of $2,000,000 = 0.075 x $2,000,000 = $150,000
c) Crypto Currency = 90° - 63° = 27°
#a
Find percentage (whole is 360°)
63/360×1000.175(100)17.5%#2
Angle of crypto=180-(90+63)=180-153=27°
Percentage:-
27/360×1000.075(100)7.5%Total
2M(0.075)0.15M150K#c
Found in second part
Which equation can be used to find x, the length of the hypotenuse of the right triangle? a triangle has side lengths 63, 16, x. 16 63 = x 16 squared 63 = x (16 63) squared = x squared 16 squared 63 squared = x squared
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. The equation is x² = 16² + 63² then the correct option is D.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The dimensions of the triangle are 16, 63, and x.
Where x is the hypotenuse.
By the Pythagoras theorem, we have
x² = 16² + 63²
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Answer:
D. 16 squared + 63 squared = x ^2 is the answer.
Step-by-step explanation: