Answer: h = -4
Step-by-step explanation:
-9h-6+12h+40=22
-9h+12h=22+6-40 "collect all unknown values in a side and collect numbers in other side "
"Don't forget to Change signs"
3h= -12
3h/3 = -12/3 "dividing by 3 in both sides"
h= -4
[tex]-9h-6+12h+40=22\qquad\text{combine like terms}\\\\(-9h+12h)+(-6+40)=22\\\\3h+34=22\qquad\text{subtract 34 from both sides}\\\\3h=-12\qquad\text{divide both sides by 3}\\\\\boxed{h=-4}[/tex]
I need HELP guys i can't really figure these two out
Answer:
m=1
Boys: Girls
2:1
Step-by-step explanation:
To find the slope from 2 point we use the formula
m = (y2-y1)/(x2-x1)
m = (-13--10)/(3-6)
= (-13+10)/(3-6)
= -3/-3
= 1
Boys: Girls
16:8
We can divide each number by 8
16/8: 8/8
2:1
Boys: Girls
2:1
(1-2)
3x over 10 to negative three power+12=?
Answer:
(1-2)3X/10
-1(3X)/10
-3X/10
Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22 D = - 7 5 t + 22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius. Which statement is correct?
Consider the piecewise-defined function given by the graph. What are these values?
A) f(–3) =
B) f(–1) =
C) f(3) =
Answers:
f(-3) = -1
f(-1) = 2
f(3) = 5
======================================
Explanations:
Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.
Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1
Through similar steps, you should find that f(-1) = 2 and f(3) = 5
Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.
A) f (–3) = -1
B) f (–1) = 2
C) f (3) = 5
Further explanationStraight-line equations are mathematical equations that are described in the plane of cartesian coordinates
General formula
y-y1 = m (x-x1)or
y = mx + c
Where
m = straight-line gradient which is the slope of the line
x1, y1 = the Cartesian coordinate that is crossed by the line
c = constant
The formula for a gradient (m) between 2 points in a line
m = Δy / Δx
or we can use:
[tex]\rm \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}[/tex]
Piecewise Functions: functions that have different equations based on the input (x) value
We look for 3 pieces of function from the graph
1. graph 1 is a straight line that passes through 2 points : (-4.0) and (-1, -3) so that the straight line equation:
[tex]\rm \dfrac{y-0}{-3-0}=\dfrac{x+4}{-1+4}\\\\\dfrac{y}{-3}=\dfrac{x+4}{3}\\\\3y=-3(x+4)\\\\3y=-3x-12\\\\y=-x-4\Rightarrow \:for\:x<-1[/tex]
2. graph 2 is a straight line with the equation: \
[tex]\rm y=2\Rightarrow \:for\:-1\leq x<3[/tex]
3. graph 1 is a straight line that passes through 2 points, (3.5) and (5.1) so that the straight line equation :
[tex]\rm \dfrac{y-5}{1-5}=\dfrac{x-3}{5-3}\\\\\dfrac{y-5}{-4}=\dfrac{x-3}{2}\\\\2(y-5)=-4(x-3)\\\\2y-10=-4x+12\\\\2y=-4x+22\\\\y=-2x+11\:\Rightarrow for\:x\geq 3[/tex]
A function made up of 3 pieces:
a solid dot means "including",
an open dot means "not including"
[tex]\rm y=-x-4\:for\:x<-1[/tex]
[tex]\rm y=2\:for\:-1\leq x<3[/tex]
[tex]\rm y=-2x+11\:for\:x\geq 3[/tex]
A) f (–3) =
Because -3 <-1, the function used is y = -x-4, so
f (-3) = - (- 3) -4
f (-3) = 3-4
f (-3) = -1
B) f (–1) =
Because x = -1, the function used y = 2, so
f (-1) = 2
C) f (3) =
Because x = 3, the function used is = -2x + 11, so
f (3) = -2 (3) +11
f (3) = -6 + 11
f (3) = 5
Learn more
Piecewise Functions
https://brainly.com/question/1242635
the inverse of the function
brainly.com/question/628130
domain of the function
brainly.com/question/4135536
If you know this can you help me
If you schedule production of communications chips. After the chips are produced, they go to the QC department, where each chip must pass a 2 hour test. Over the past year, 5.0% of the chips have failed this test. If you wish to choose a batch size that will yield as close as possible to 1,000 good chips, on average. What is the best batch size
Answer:
A batch of 1053 chips
Step-by-step explanation:
Given that over the past year, 5% of chips fail have failed the test
This mean in every batch size selected, 5% of the chips will fail
If 5% of chips fail the test, 95% of chip pass the test
Lets assume a batch size of x number of chips
You know 95% of the chips will pass and the expected value of good chips is 1000 then
[tex]\frac{95}{100} *x=1000\\\\\\95x=100000\\\\\\x=\frac{100000}{95} \\\\\\x=1052.63\\\\\\x=1053[/tex]
Answer:
1053
Step-by-step explanation:
Which value is equivalent to (see attachment)
10/9
20/3
100/9
700/3
Given the rectangle ABCD, AB has a slope of 2/3, what is the slope of BC?
If ABCD is the rectangle, then AB and BC are perpendicular.
Let m₁ and m₂ - slopes of perpendicular lines. Therefore
m₁m₂ = -1 → m₂ = -1/m₁.
We have m₁ = 2/3 then m₂ = -1/(2/3) = -3/2.
Answer: The slope of BC is -3/2.The slope of BC is -3/2.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
We are given ABCD is the rectangle, then AB and BC are perpendicular.
Let m₁ and m₂ are slopes of perpendicular lines. Therefore.
m₁m₂ = -1
m₂ = -1/m₁.
We have m₁ = 2/3 then;
m₂ = -1/(2/3) = -3/2.
Hence, The slope of BC is -3/2.
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ2
PLEASE HELP MEEEEEE!!!!!!!
Answer:
Answer is explained down below.
Hope this helped, brainliest?
Step-by-step explanation:
Not exactly sure if there are other questions included, but to fill out the table im assuming you break up the hours and miles.
Jamal hiked 6 miles in 3 hours, first block would be 1.5miles in 45 minutes, 2nd block would be 3miles in 1hour 30minutes, 4.5miles in 2hours 15minutes, and last 6 miles in 3 hours.
For rubi it would be 2.5miles, 5miles, 7.5miles, 10miles. the time would be 1 hour, 2 hour, 3 hour, 4 hour.
If this isnt what it is asking please provide more info and i'll help
Martina filled a 100mL container Simone filled a 1.2 liter container how much more water does Simone have than Martina
Answer:
divide 100 ml and 1.2 liter
Step-by-step explanation:
You will get the answer in percent
Answer:
10
Step-by-step explanation:
35/23 improper fraction
35/23 is an improper fraction because the numerator is larger than the denominator.
To convert to a mixed number, use long division to find 35 into 23 goes in exactly one whole time (quotient) and there is 12 leftover (remainder)
You can see it through doing it like this
35/23 = (23+12)/23 = 23/23 + 12/23 = 1 + 12/23 = 1 & 12/23
So in short, 35/23 = 1 & 12/23
1 & 12/23 is a mixed number with 1 as the whole part and 12/23 as the fractional part.
---------------------
Real life example: if you had 35 cookies and 23 friends, then each friend would get 1 whole cookie. There would be 12 cookies left over.
The question involves understanding improper fractions, specifically 35/23. This fraction is already improper as the numerator is larger than the denominator and it cannot be simplified further.
The student's question pertains to converting an improper fraction, which in this case is 35/23. To clarify, an improper fraction is one where the numerator (the top number) is larger than the denominator (the bottom number). This type of fraction represents a quantity greater than one whole. The student's example already is an improper fraction.
There is no further calculation needed unless the goal is to convert it to a mixed number or to its simplest form, which cannot be done in this case since 35 and 23 have no common factors besides 1.
HELP!! ANSWER IF YOU KNOW!
Which expression is equal to (3 × 5) × 4?
A) (3 + 5) × 4
B) (3 × 5) + 4
C) 3 × (5 × 4)
D) (3 × 5) + (3 × 4)
Answer: C
Step-by-step explanation:
Makes sense
Answer: C. 3* (5*4)
Step-by-step explanation:
(3*5)*4=60
(3+5)*4=32
3*(5*4)=60
(3*5)+(3*4)=27
(3*5)+4=19
3*(5*4)=60=(3*5)*4
What are the zeros of the function? What are their multiplicities?
f(x)=3x^3-9x^2+6x
a. the numbers 2, 1, and 0 are zeros of multiplicity 1
b. the numbers 2, 1, and 0 are zeros of multiplicity 2
c. the numbers -2, -1, and 0 are zeros of multiplicity 2
d. the numbers -2, -1, and 0 are zeros of multiplicity 1
Answer:
THE ANSWER IS (A)
Step-by-step explanation:
BECAUSE I'M IN YOUR SCHOOL AND IN YOUR CLASS SO I KNOW
Draw a circle shade one sixth of it what percentage of the circle is shaded
Answer:
16.6%
Step-by-step explanation:
Which of the lines graphed has a slope of 1 and a y-intercept of -3?
Answer:
C
Step-by-step explanation:
The line has a positive slope which means it slopes upwards from left to right
A and B slope downwards so can be excluded
C and D have the correct upward slope but C has the y-intercept of - 3
Thus C is the required line
There are 36 female performers in a dance recital. The ratio of men to women is 5:6. How many men are in the dance recital?
what is the y intercept of the line y-14=6(x-2.5)
Answer:
The y intercept is -1
Step-by-step explanation:
y-14=6(x-2.5)
We need to get the equation in the form y = mx+b where b is the y intercept
Distribut the 6
y-14 = 6x -15
Add 14 to each side
y-14+14 = 6x-15+14
y = 6x-1
The y - intercept is -1
Answer:
(0, -1)
Step-by-step explanation:
y-14=6(x-2.5)
Distributive property:
y-14 = 6 * x - 6*2.5
y-14= 6x-15
Add 14 on each side:
y-14+14=6x-15+14
Simplify:
y=6x-1
In the form y=mx+b (slope-intercept form, as shown above), the y-intercept is (0, b). b is -1.
which property is illustrated (m+7.3)+4.1=m+(7.3+4.1)
The property in expression is Associative property.
What are addition property?The characteristics of addition specify the possible methods for adding the given integers. One of the fundamental arithmetic operations in mathematics is "addition." The process of adding items together is called addition. The "+" symbol is used to add the two numbers together. The numbers we will add are referred to as "addends," and the outcome will be referred to as "sum." Any two or more digit numbers, known as addends, are used in the addition process.
Given expression
(m + 7.3) + 4.1 = m + (7.3 + 4.1)
this shows
(A + B) + C = A + (B + C)
this is associative property,
According to this property or law, the addition of three integers yields the same result regardless of how the numbers are arranged. It means that even if the order of the addends is modified while adding three or more numbers, the total or sum will remain the same.
Hence the expression follows associative property.
Learn more about addition property;
https://brainly.com/question/14092461
#SPJ2
The perimeter of a triangle is 28 feet. The sides of the triangle measure 10 feet, 9 feet, and x feet. Write and solve an equation to find the length of the missing side.
Your friend wants to pay off his credit card with a balance of $880.00 and an interest rate of 16.65% APR by getting a loan from you. You agree to the loan, but insist your friend pay you interest of 3.25% APR. Your friend agrees. How much interest does your friend save at the end of the first month by paying you instead of the credit card?
a) $12.55
b) $11.12
c) $9.83
d) $19.78
Answer: $9.83
Step-by-step explanation:You need to calculate
($880/month)(.1665)(1/12) = $12.21
($880/month)(.0325)(1/12) = $2.38
Difference = $12.21 - $2.38 = $9.83
The Interest does your friend save at the end of the first month by Paying you instead of Credit Card is dollar 9.83.
What is Simple Interest?
''Simple Interest is a fee paid for borrowing money. The amount borrowed is called Principal the interest is expressed as a Percentage Rate of the Interest".
What is Rate of the Interest?
"Rate of the Interest is the amount a lender charges a borrower and is a Percentage of the Principal - the amount loaned".
According to the question
Credit Balance is taken as Principal(P) = $880.00
Rate of Interest = 16.65%
Number of years = [tex]\frac{1}{12}[/tex]
Formula for Simple Interest = [tex]\frac{pnr}{100}[/tex]
Simple Interest= [tex]\frac{(880)(1)(16.65)}{(12)(100)}[/tex]
= 12.21
Friend Pay you of Rate of Interest = 3.25%
Formula for Simple Interest is= [tex]\frac{pnr}{100}[/tex]
=[tex]\frac{(880)(1)(3.25)}{(12)(100)}[/tex]
= 2.38
In order to find the saving money make if Difference between Simple Interest paid at rate of interest 16.65% and Simple Interest paid at rate of Interest 3.25%
= 12.21 - 2.38
= 9.83
Hence, the Interest save at the end of the first month by paying you instead of the credit card $9.83.
To learn more about Simple Interest here
https://brainly.com/question/11856460
#Tag#SPJ2
[tex] log_24 + log_216 - log_232[/tex]
Answer: 1
Step-by-step explanation:
Method #1: Using the log rules (+ → x and - → ÷)
log₂4 + log₂16 - log₂32
= log₂[tex](\frac{4*16}{32})[/tex]
= log₂[tex](\frac{64}{32})[/tex]
= log₂2
= 1
Method #2: Using log rules to simplify each expression
log₂4 = x log₂16 = x log₂32 = x
4 = 2ˣ 16 = 2ˣ 32 = 2ˣ
2² = 2ˣ 2⁴ = 2ˣ 2⁵ = 2ˣ
2 = x 4 = x 5 = x
log₂4 = 2 log₂16 = 4 log₂32 = 5
2 + 4 - 5 = 1
Which set of numbers is in the solution set of the inequality x < 14?
A) {3, 7, 9, 10, 12}
B) {15, 18, 20, 21, 23}
C) {17, 21, 24, 25, 31}
D) {23, 27, 29, 30, 36}
aslo please explain
Answer:
The correct answer is A.
Step-by-step explanation:
In order for a set to be a solution set, all of the numbers in the set must satisfy the equation. In this case, we are looking to satisfy the equation x < 14. So we must be able to tell that every number in the set is less than 14. In each of the sets (except for A), there is at least one number that is greater than 14. There are no numbers greater than 14 in A.
Find the sum of 10(E)(i=3) 2i-9
The sum represented by the notation [tex]\sum\limits^{10}_{i=3} {2i - 9[/tex] is 32
How to determine the sum represented by the notation
From the question, we have the following parameters that can be used in our computation:
[tex]\sum\limits^{10}_{i=3} {2i - 9[/tex]
This means that we determine the value of the expression from i = 3 to i = 9 and then add them up
So, we have
2(3) - 9 = -3
2(4) - 9 = -1
2(5) - 9 = 1
2(6) - 9 = 3
2(7) - 9 = 5
2(8) - 9 = 7
2(9) - 9 = 9
2(10) - 9 = 11
Evaluate the sum
Sum = -3 - 1 + 1 + 3 + 5 + 7 + 9 + 11
Sum = 32
Hence, the sum represented by the notation is 32
Question
Find the sum of [tex]\sum\limits^{10}_{i=3} {2i - 9[/tex]
the function m(g) provides the number of miles a car travel on g gallons of gas. The fuel tank holds 14 gallons which allows a maximum ride of 504 miles. What is domain of the function
Answer:
0<_g <_ 14 or A. If it’s the same paper
Step-by-step explanation:
Answer:
[tex]0\leq g\leq 14[/tex]
Step-by-step explanation:
The function is defined as [tex]m(g)[/tex], that is, the independent variable represents gallons, and the dependent variable represents miles, depending on the gallons of gas, the car will move certain number of miles.
Knowing the relation between the variables of the function, we also can know that the fuel tank holds 14 gallons, that is, the independent variable holds 14 units, and the independent variable is [tex]g[/tex].
Remember that the domain is the set that represents all valid values that the independent variable can take. In this case
[tex]0\leq g\leq 14[/tex]
Which means that the fuel tank can hold a maximum of 14 gallons and a minimum of 0 gallons. Therefore, the domain is
[tex]0\leq g\leq 14[/tex]
point A lies in plane B how many planes can be drawn perpendicular to plane B through point A
1) one
2)two
3) zero
4) infinite
Answer:
4
Step-by-step explanation:
Only one plane can be drawn perpendicular to plane B through point A in three-dimensional space. The correct answer is option 1) that is One.
The question at hand involves geometric concepts, specifically the relationship between planes and lines in three-dimensional space. If point A lies in plane B, then there can be one and only one plane drawn perpendicular to plane B through point A; this is because in three-dimensional space, a point defines a line and only one perpendicular plane can contain that line.
This principle is similar to how any three points not on a single straight line determine a plane and how two lines intersect at a single point or not at all. The perpendicular plane would form a 90-degree angle along every line in plane B that passes through point A.
The correct answer is option 1) that is One
find uv and plz tell me how to do it
Answer:
UV =2
Step-by-step explanation:
From the diagram
TV = x+14
TV = TU + UV
x+14 = 9+ 8+2x
Combine like terms
x+14 = 17+2x
Subtract x from each side
x-x+14 = 17+2x-x
14 = 17+x
Subtract 17 from each side
14-17 = 17+x-17
-3 =x
But we are not asked to solve for x, but for UV
UV = 8+2x
Substitute x=-3
UV = 8+2(-3)
UV = 8-6
UV =2
A cone and cylinder have the same height and the same base radius. If the volume of the cylinder is 81 cm^3 what is the volume of the cone in cm^3?
A) 9
B) 27
C) 78
D)243
Answer:
The volume of the cone is [tex]27cm^3[/tex]
Step-by-step explanation:
We know that formulas
Volume of cylinder is
[tex]V_1=\pi r^2 h[/tex]
Volume of cone is
[tex]V_2=\frac{1}{3}\pi r^2 h[/tex]
we are given
A cone and cylinder have the same height and the same base radius
So, both will have same radius and height
now, we can find ratios
[tex]\frac{V_2}{V_1}=\frac{\frac{1}{3}\pi r^2h }{\pi r^2h}[/tex]
now, we can simplify it
[tex]\frac{V_2}{V_1}=\frac{1}{3}[/tex]
we are given
the volume of the cylinder is 81 cm^3
so, [tex]V_1=81[/tex]
now, we can plug it and solve for V2
[tex]\frac{V_2}{81}=\frac{1}{3}[/tex]
[tex]81\times \frac{V_2}{81}=81\times\frac{1}{3}[/tex]
[tex]V_2=27[/tex]
So, the volume of the cone is [tex]27cm^3[/tex]
The volume of the cone, which has the same height and base radius as the cylinder with a volume of 81 cm³, is one-third that of the cylinder, equating to 27 cm³.
For a cone with the same height and base radius as the cylinder, the volume formula is V = ⅓πr²h, which is one-third of the volume of the cylinder. Given that the volume of the cylinder is 81 cm³, the volume of the cone can be found by dividing this value by 3, resulting in a volume of 27 cm³ for the cone. Therefore, the correct answer is B) 27 cm³.
which of these characteristics do a rhombus and a rectangle always have in common
Answer:
A rhombus and a rectangle are both paralellograms and both have 4 sides.
Step-by-step explanation:
Imageine a rhombus as a rectangle that you have partally squished. It is still a parallellogram, and it still has four sides, it's just not 90 degree angles anymore.
Answer:
they are both quadrilaterals and have 4 vertices
Step-by-step explanation:
Point Q is the opposite of point P. Determind the location of point Q on the number line
Answer:
With a number line with two points opposite from each other on a number line, the middle of it is always going to be 0. Therefore, both points are the same distance away from 0 just in opposite directions. That means point Q is always going to equal the negative of point P. An example of this is if point p equals 5, point p equals -5.
This method only works when it is specifically stated that the two points are opposite from each other.
Hope this helps!
xx,
myara
The location of Point Q on the number line is the opposite of the location of Point P. If Point P is at +a, then Point Q is at -a, and vice versa.
Explanation:In order to determine the location of Point Q, we first need to know the location of Point P on the number line. If we assume that point P is positive and located at +a, then Point Q, being the opposite of Point P, would be located at -a on the number line. Conversely, if Point P was negative and located at -a, the opposite, Point Q, would be on the +a location on the number line. The important thing to remember here is that opposite points on a number line are simply reflection of each other with respect to the origin (0).
Learn more about Number Line here:https://brainly.com/question/32029748
#SPJ2
Use the following flowchart to determine if the family qualifies for bankruptcy. Their yearly income is 58,000- the median annual income is $47,778 and the family has a monthly expenses of $4,600.
Answer:
Do not qualify
Step-by-step explanation:
Yearly income = $58000
Monthly income = [tex]\frac{58000}{12}[/tex] = $4833.33
Median annual income = $47778
Monthly expenses = $4600
Income < Median Income ? 58000 < 47778 -> No
x = (Monthly income - expenses) * 60
= (4833.33 - 4600) * 60
= 233.33 * 60
= 13999.8
x < 10000 ? 13999.8 < 10000 -> No
So, Do not qualify
Answer:
The family does not qualify for bankruptcy
Step-by-step explanation:
Expenses=$4,600
Yearly income=$58,000
Monthly income=Yearly income / 12
Monthly income=$58,000/12
Monthly income=$4,833.333333
Rounded to the nearest cent:
Monthly income=$4,833.33
Flowchart
No
Mean test. Calculate
Income=$58,000<$47,778=Median → (Monthly income - expenses)*60
Income ($4,833.33-$4,600)*60
($233.33)*60
$13,999.80
Call this number X. No
X=$13.999.80 < $10,000 → Do not
qualify
The family does not qualify for bankruptcy