12%
22 + 16 = 38
38 - 32 = 6
6 / 50 = 12 / 100 = 12%
Which is the other endpoint of a line segment with one endpoint at (1, 3) and midpoint at (3,5)?
A. (2,4)
B. (4,4)
C. (5,7)
D. (4,8)
E. (8.16)
Answer:
C. (5,7)
Step-by-step explanation:
One endpoint at 1,3 and the midpoint at 3,5Your answer would be to as two to each the x and y of the midpoint. So the answer would be 5,7.
Alan, Betty, and Carol invested in a corporation in the ratio of 3:4:5 respectively. If they divide the profit of $26,100 proportionally to their investment, how much will each receive?
Answer:
Alan = $6525
Betty = $8700
Carol = $10875
Step-by-step explanation:
Ratio of Investment is:
Alan: Betty: Carol = 3:4:5
Total profit will be divided into 12 portions (3+4+5=12)
Total profit = $26,100
One portion = $26,100/12 = $2175
Alan gets = 2175*3= 6525
Betty gets =2175*4= 8700
Carol gets = 2175*5 = 10875
17. Find the value of y for which GHIJ must be a parallelogram.
Answer:
3/4
Step-by-step explanation:
Opposite sides of a parallelogram are congruent
6y +3 = 10y
3 = 4y
[tex]\frac{3}{4}[/tex] = y
ITSS EASY PLEASE HELPP
i) 15 students
ii) 15 students
feeding trough is in the shape of a
right triangular prism. The triangular end
of the trough measures 3 ft across and
1
is 1 4 it deep. The feeding trough is 40
feet long. How much cattle feed can the
trough hold?
Step-by-step explanation:
1 1/4
is also 5/4
5/4 * 3 * 1/2 * 40 =
answer in comments
please mark as brainest
How many 1/4 inches are in 2 inches? Draw a diagram to demonstrate your answer.
Answer:
8
Multiply 0.25 by 8 ⇒ 2 [tex]in.[/tex]
I hope this helps!
46 is what percent of 69?
Answer:
66.67
Step-by-step explanation:
So if 69 is 100 percentage then we need to know; x. so x% is 46 then you turn that information into this equation. 100%/x%=69/49 so then you can solve that x is 66.67. So It is 66.67%
At a high school football game, the amount of concession items sold over the first 5 weeks of the season is shown below.
Based on the quantity of the various items sold at the concession stand, the items that show a linear relationship include:
Hot dogs.Nachos. Why are these items showing a linear relationship?Items that show a linear relationship are those that are either increasing or decreasing by the same amount overtime.
Change in Hotdogs:
= 142 - 131 = 120 - 109
= 11 = 11
Hotdogs are changing by the same amount.
Change in Soft drinks:
= 161 - 154 = 147 - 133
= 7 = 14
Change in Pretzels
= 96 - 64 = 120 - 112
= 32 = 8
Change in Nachos:
= 111 - 97 = 153 - 139
= 14 = 14
Therefore, the only items that are linear are the Hotdogs and Nachos.
Find out more on linear relationships at https://brainly.com/question/837754.
I need help... It's kinda confusing for me..
Answer:
y = -5x - 1
Step-by-step explanation:
To find the function rule:
We use the equation "y = mx + b"
Function rule: What we need to do to "x" to get "y"
Look at the x-values. You need to know if they are going up by one or if they are skipping. In this case, they are going up by one.
Next, look at the y-values and see how they are changing. The y-values in this table are going down by 5 every time, which means we will multiply each "x" by "-5".
After that, pick the first 'x" in the table and multiply it by "-5", then figure out what you need to do to make it equal the y-value.
You need to subtract 1. This means the rule is "y = -5x - 1"
To check if this is correct, we do the following:
y = -5x - 1
Substitute the first x and y values into the equation
9 = -5(-2) - 1
Multiply -5 and -2
9 = 10 - 1
Subtract 1 from 10
9 = 9
True
Let's check the second equation
y = -5x - 1
Substitute the x and y values in the second column of the table
4 = -5(-1) - 1
Multiply -5 and -1
4 = 5 - 1
Subtract 1 from 5
4 = 4
True
So, the function rule "y = -5x - 1" is true
Jasmine decides to put $100 in a savings account each month. The account pays 3% annual interest, compounded monthly. How much money, S, will Jasmine have after one year?
The total amount accrued, principal plus interest, with compound interest on a principal of $100.00 at a rate of 3% per year compounded 12 times per year over 1 years is $103.04.
Compound InterestGiven data
Principal = $100Rate = 3%Time = 1 yearA = P + I where
P (principal) = $100.00
I (interest) = $3.04
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 100.00(1 + 0.03/12)^(12)(1)
A = 100.00(1 + 0.0025)^(12)
A = $103.04
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Find the domain and real zeros of the given function
F(x)= 3x-5/x^2-x-12
Answer:
DOMAIN : x ∈ (-∞ , -3 )U (4 , ∞) or {x | x ∈ R where x ≠ -3 and 4}
REAL ZEROS : x = 5/3
Step-by-step explanation:
[tex]f(x) = \frac{3x -5}{x^{2} -x-12}[/tex]
factorize the bottom part
[tex]x^{2} - x - 12[/tex]
product = -12 , sum = -1 , factors = -4 and 3
[tex]x^{2} +3x-4x-12=0[/tex]
x (x + 3) - 4(x + 3) = 0
(x - 4) ( x + 3) = 0
x - 4 = 0 and x + 3 = 0
x = 4 and x = -3
for the function f(x) the domain is all real numbers ( R ) except - 3 and 4
Domain = x ∈ (-∞ , -3 )U (4 , ∞)
TO FIND THE ZEROS LET f(x) be equal to zero
[tex]0 = \frac{3x - 5}{x^{2} - x - 12}[/tex]
cross multiply
0 = 3x - 5
find x
3x = 5
[tex]x = \frac{5}{3}[/tex]
What is the value of X in the triangle
Answer:
x = 10√2
Step-by-step explanation:
Value Of X:
x² = 10² + 10²x² = 100 + 100x² = 200x = √200x = √100 × √2x = 10√2the value of x is 10√2 (A)
what is the equation of -7 increased by a number n is 12
line S is y=1/3x-3 and line T is y=-x+5. How do I graph the solutions?
Answer:
#1) A
#2) B
#3) C
#5) A
#7) D
#10) D
#11) D
#14) A
#15) D
#16) A
#19) D
Step-by-step explanation:
#1) If the data set is linear, the slope will be constant throughout the entire data set. For data set A, the slope between the first two points is:
m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2
Between the second two points,
m=(4-1)/(5-3) = 3/2
Between the third pairs of points,
m=(7-4)/(7-5) = 3/2
The slope is constant throughout the entire set. The set is also increasing; as x increases, y increases as well.
#2) Substituting 4 for y and 1 for x,
y = (x+1)²
4 = (1+1)² = 2²
9 = (1+2)² = 3²
16 = (1+3)² = 4²
This works for each point, so this is the solution.
#3) Since he runs 10 laps per hour t, this is 10t. Adding the first lap to this, we get y=10t+1.
#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term. If the common difference is 2, this means that 2 was added each time. This only works for choice A.
#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.
#10) The formula for slope is:
m=(y₂-y₁)/(x₂-x₁)
Using the information we're given, we have
3=(d-5)/(4-2)
3=(d-5)/2
Multiply both sides by 2:
3*2 = ((d-5)/2)*2
6 = d-5
Add 5 to both sides:
6+5 = d-5+5
11 = d
#11) Using point slope form,
y-y₁ = m(x-x₁)
y-1 = 3(x--2)
y-1 = 3(x+2)
Using the distributive property,
y-1 = 3*x + 3*2
y-1 = 3x + 6
Add 1 to both sides:
y-1+1 = 3x+6+1
y=3x+7
#14) If two lines are parallel, they have the same slope. The slope of the given equation is 4; the only one with a slope of 4 is A.
#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped). The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2. The only one with this slope is D.
#16) The two equations are not the same, so there are not infinitely many solutions. The variables do not both cancel, so there is at least one solution. This only leaves one solution as the answer.
#19) Using 1 for 7 and 4 for x, we check each equation. The only one that comes out correct is D.
i hope this work for you
and sory if im wrang
here a subtraction problem that has been solved incorrectly for 44-16=28 choose the addition sentence that check this subtraction problem the choices are 28+16=32 28+44=72 28+16=44 which one is correct
Answer:
28+16=44
Step-by-step explanation:
point of correction it has been solved correctly
when subtracting 44 - 16 it gives you 28
=> 44 - 16
=> 28
SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY
you will minus 28 from one of the numbers before the equal sign
the correct option is 28 + 16 equals to 44
=> 28+16=44
MATH QUESTION SCREEN SHOT DOWN BELOW BRAINLIEST!
What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box.
Answer:
6.2
Step-by-step explanation:
pretty sure this is the answer-- ^^
The mean of the given data set {6, 11, 5, 2, 7} is 6.2.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
We are given that;
Data set= {6, 11, 5, 2, 7}
Now,
To find the mean of a data set, you need to add up all the values and divide by the number of values.
In this case, there are 5 values in the data set: 6, 11, 5, 2 and 7.
To find the mean, follow these steps:
Add up all the values: 6 + 11 + 5 + 2 + 7 = 31
Divide by the number of values: 31 / 5 = 6.2
Therefore, by the mean the answer will be 6.2.
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(Help) Find the measure of the missing angle
Solution:
Let the missing angle be x.
It should be noted:
The two diagonals form four isosceles triangles. (ΔBOC, ΔCOD, ΔDOA, and ΔAOB)∠DOA = ∠BOC = 44 (Vertically opposite angles)Interior angles of a triangle sum up to 180°This means that...
44 + x + x = 180Combine like terms.
44 + 2x = 180Subtract 44 both sides.
2x = 180 - 44Simplify the RHS
2x = 136Divide 2 both sides.
2x/2 = 136/2=> x = 136/2 = 68°Answer:
68°
Step-by-step explanation:
Remember :
The diagonals of a rectangle are equalHence, they will have equal angles on the corners of the shapeSolving :
∠DOA = ∠COB = 44° (Vertically Opposite Angles)Now, consider ΔDOA∠ODA = ∠OAD (Because angles opposing equal side lengths are equal)∠ODA + ∠OAD + ∠DOA = 180° (Angle Sum Property)2∠OAD + ∠DOA = 180°2∠OAD + 44° = 180°2∠OAD = 136°∠OAD = 68° (missing angle value)Answer the Both Question in the image using the knowledge of Volume of Solid. 50 points
Answer:
Part A
Cone
[tex]\mathsf{volume \ of \ a \ cone=\dfrac13\pi r^2h}[/tex]
(where r is the radius and h is the height)
Given:
r = ah = 2r = 2a[tex]\implies \mathsf{volume \ of \ the \ cone=\dfrac13\pi \cdot a^2\cdot2a=\dfrac23\pi a^3}[/tex]
Hemisphere
[tex]\mathsf{volume \ of \ a \ sphere=\dfrac43\pi r^3}[/tex]
[tex]\implies \mathsf{volume \ of \ a \ hemisphere=\dfrac12 \cdot\dfrac43\pi r^3=\dfrac23\pi r^3}[/tex]
Given
r = a[tex]\implies \mathsf{volume \ of \ the \ hemisphere=\dfrac23\pi a^3}[/tex]
Therefore
volume of cone with radius a = volume of hemisphere with radius a
Part B
[tex]6.82^2\times\sqrt[3]{0.005}[/tex]
Take log of base 10:
[tex]\implies \log_{10}(6.82^2\times\sqrt[3]{0.005})[/tex]
Using log law [tex]\log(a \times b)=\log a+\log b[/tex]:
[tex]\implies \log_{10}(6.82^2)+\log_{10}(\sqrt[3]{0.005})[/tex]
Using low law [tex]\log(a^b)=b \log a[/tex]
[tex]\implies 2\log_{10}(6.82)+\dfrac13\log_{10}(0.005)[/tex]
Log tables
The characteristic of the logarithm of a number is the exponent of 10 in its scientific notation.
The mantissa is found using the log tables and is always prefixed by a decimal point.
The row is the first two non-zero digits of the number, and the column is the 3rd digit of the number
Use the log tables to find [tex]\log_{10}(6.82)[/tex]:
6.82 = 6.82 × 10⁰
⇒ characteristic = 0
log table: row 68, column 2 ⇒ mantissa 8338 ⇒ 0.8338
characteristic + mantissa = 0 + 0.8338 = 0.8338
Therefore, [tex]\log_{10}(6.82)=0.8338[/tex]
Use the log tables to find [tex]\log_{10}(0.005)[/tex]:
[tex]0.005 = 5.0 \times 10^{-3}[/tex]
⇒ characteristic = -3
log table: row 50, column 0 ⇒ mantissa 6990 ⇒ 0.6990
characteristic + mantissa = -3 + 0.6990 = -2.301
Therefore, [tex]\log_{10}(0.005)=-2.301[/tex]
Therefore,
[tex]2\log_{10}(6.82)+\dfrac13\log_{10}(0.005)[/tex]
[tex]\implies 2\cdot0.8338 + \dfrac13 \cdot -2.301[/tex]
[tex]\implies 1.6676 - 0.767[/tex]
[tex]\implies 0.9006[/tex]
Therefore,
[tex]\log_{10}(6.82^2\times\sqrt[3]{0.005})=0.9006[/tex]
Using [tex]\log_{a}b=c \implies a^c=b[/tex]
[tex]\implies 6.82^2\times\sqrt[3]{0.005}=10^{0.9006}[/tex]
[tex]\implies 6.82^2\times\sqrt[3]{0.005}=7.954[/tex]
given for cone:
radius: aheight: 2avolume of cone:
[tex]\sf \rightarrow \dfrac{1}{3} \pi r^2h[/tex]
[tex]\sf \rightarrow \dfrac{1}{3} \pi (a)^2(2a)[/tex]
[tex]\sf \rightarrow \dfrac{2\pi a^3}{3}[/tex]
no metal wasted means no volume wasted while melting so volume: same.
volume of hemisphere:
[tex]\hookrightarrow \sf \dfrac{2}{3} \pi r^3[/tex]
This is equal to the volume of cone.
[tex]\hookrightarrow \sf \dfrac{2}{3} \pi r^3 = \dfrac{2\pi a^3}{3}[/tex]
[tex]\hookrightarrow \sf a^3 = r^3[/tex]
[tex]\hookrightarrow \sf a = r[/tex]
Therefore shown that radius of cone is similar to radius of hemisphere.
(b)
[tex]6.82^2 *\sqrt[3]{0.005}[/tex]
[tex]7.9535[/tex]
[tex]7.95[/tex]
how much feet is 0.6 miles
Answer:
0.6 multiply by 5250
its 3168
The Conversion of 0.6 miles is equal to 3,168 feet.
To convert 0.6 miles to feet, we need to use the conversion factor that 1 mile is equal to 5,280 feet.
As, 1 mile= 5280 feet
So, we can multiply 0.6 miles by the conversion factor:
= 0.6 miles x 5,280 feet/mile
= 3,168 feet
Therefore, 0.6 miles is equal to 3,168 feet.
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What is a formula for the nth term of the given sequence? 12, 6, 3
Answer:
I think it is dividing the numbers by 2
look at screen shoot
Answer:
3/5
108
Step-by-step explanation:
Let there are 3x goldfish, then 2x belta fish
total 3x + 2x = 5x fish
so 3x/5x = 3/5 are goldfish.
total fish = 5x = 180, so x = 180/5 = 36
The store has 3x = 3*36 = 108 goldfish.
Find the measure of angle DGE
Answer:
40°
Step-by-step explanation:
m∠DGE = mDE/2 = 80/2 = 40°
what is the remainder of 14 divided by 374
How do I do this equation
I need help with this
Answer:
SAS I believe or CPCTC depending if that is what you are working on.
Step-by-step explanation:
Find product of (6x^2 +8) (3x^2-5x+7) HELPPP
help me use order of operations to find this awnser
Answer:
97
Step-by-step explanation:
4^2+3(37-(2*5))
4^2+3(37-10)
4^2+3(27)
16+3(27)
16+81
=97
Answer:
Step-by-step explanation:
(2*5)=10, 37-10=27, 4^2=16, 3(27)=81, 16+81= 97
Identify the matrix transformation of ΔDEF, which has coordinates D(3, −2),E(4, 1), and F(7, 2), for a translation 1 unit right and 2 units down. Then identify the correct vertices of the image.
Answer:
D'(2,0), E'(3,3), F'(6,4)
Step-by-step explanation:
The matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that, the coordinates of ΔDEF will be D(3, −2), E(4, 1), and F(7, 2).
For a translation 1 unit right and 2 units down we got the coordinates as D'(2,0), E'(3,3), and F'(6,4).
Thus, the matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).
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When we factor this equation the correct answer would be "-2x(7 + 6x)". But why would "2x(-7-6x)" be wrong?
Step-by-step explanation:
Although it is right,
The rule is that we stop factoring, if we can't factor out a constant that isn't 1.
In your example, we can still factor out-1.
The factorization 2x(-7-6x) is not wrong because distributing the outer 2x to each term inside gets us
2x times -7 = -14x2x times -6x = -12x^2which leads back to -14x-12x^2
Therefore, 2x(-7-6x) = -14x - 12x^2 is true.
Convention usually has us pull out the negative so the terms inside are all positive. This is just a practice done. There technically isn't any right way vs wrong way to factor, when we compare the two different factorizations. I think it's more of a subjective style than anything.