Answer:
The largest angle is 6x,and 6x=90
So, the measure of the largest angle is 90
Step-by-step explanation:
First, you create an equation by adding the three angles together and equal to 180,because a triangle has 180 degrees.
The result will be 15.If x=15 ,you need to plug it in.
the largest angle is 6x,So, 6.15=90
90 degrees
The problem states the measures of three angles of a triangle as 4x-1, 2x+1, and 6x. According to the basic theorem that the sum of the angles in a triangle is 180 degrees, if we add these angles together, and equate them to 180, we get the equation 4x - 1 + 2x + 1 + 6x = 180. Adding like terms simplifies this to 12x = 180, and dividing each side by 12 gives us x = 15. Therefore, the largest angle is 6x, which would be 6 * 15 = 90 degrees.
If you only have a 1/10 measuring cup and a recipe calls for
4 3/10 cups of flour, how many 1/10 cups would you need to use?
Answer:
Step-by-step explanation:
well let break it down
you have 1/10
you need 4 and 3/10
that can be changed to 43/10 because you need 4 WHOLE or 40/10 (40/10 = 4)
if you can pour 1/10 and you need a total of 43/10, you'd need to use 43 of the 1/10 measuring cups
To measure out 4 3/10 cups of flour using only a 1/10 measuring cup, you would need to fill the 1/10 measuring cup 43 times.
Explanation:To determine how many 1/10 cups are needed to measure out 4 3/10 cups of flour, start by converting the desired amount into tenths.
4 3/10 cups can be thought of as 4 cups plus 3/10 of a cup, which is equivalent to 40/10 cups plus 3/10 cups, giving us 43/10 cups in total.
Since you only have a 1/10 measuring cup, you would need to use this cup a total of 43 times to get 43/10 cups of flour. Therefore, you would need to use the 1/10 measuring cup 43 times to obtain the necessary flour for the recipe.
A geometric sequence is defined by the recursive formula t1 = 64, tn =
tn - 1 / 2, where n ∈N and n > 1. The sequence is
A) -64, -16, -8, -4, -2, -1, ...
B) 64, 16, 8, 4, 2, 1, ...
C) 64, 32, 16, 8, 4, 2, ...
D) 64, 128, 256, 512, 1024, 2048, ...
Answer:
C) 64, 32, 16, 8, 4, 2, ...Step-by-step explanation:
[tex]t_1=64\\\\t_n=\dfrac{t_{n-1}}{2}\\\\\text{Therefore}\\\\t_2=\dfrac{t_1}{2}\to t_2=\dfrac{64}{2}=32\\\\t_3=\dfrac{t_2}{2}\to t_3=\dfrac{32}{2}=16\\\\t_4=\dfrac{t_3}{2}\to t_4=\dfrac{16}{2}=8\\\\t_5=\dfrac{t_4}{2}\to t_5=\dfrac{8}{2}=4\\\\t_6=\dfrac{t_5}{2}\to t_6=\dfrac{4}{2}=2\\\\t_7=\dfrac{t_6}{2}\to t_7=\dfrac{2}{2}=1\\\vdots[/tex]
Can you please find tan z
If we are talking trigonometry, the answer is 24/32. If they want you to simplify your answer it would be 3/4.
Remus is writing a book. If he wrote 34 chapters in 13 months, how long should it take Bob to write another chapter?
I love unit rate 13/34=0.38 months to write 1 chapter or write 2.62 in one month (34/13)
13) through: (1, 2), slope = 7
A) y = -5x+4 B) y = -5x+7
C) y = 4x - 5 D) y = 7x - 5
Answer: D
Step-by-step explanation:
if the slope is 7, mx + b =y the slope is m. that’s the only one that makes sense. hope this helps!
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here slope m = 7, thus
y = 7x + c ← is the partial equation
To find c substitute (1, 2) into the partial equation
2 = 7 + c ⇒ c = 2 - 7 = - 5
y = 7x - 5 → D
Identify the length of line BP
A) 9.75
B) 6.75
C) 15.75
D) 9
Answer:
I believe the answer is c because 4.5 can fit in BP almost 4 times so it is most accurate sorry if I'm wrong
Can someone help me please
OK the answer is (6,7). THis is true because you always put the x coordinate first and then the y coordinate and the x axis is horizontal and the y axis is vertical.
Answer:
From the Information provided by the graph shown above, i can conclude that Berlin's location on the graph is (6,7)
find the slope and write an equation with these to points (0,-2) (3,1)
plz explain
Hello There!
Slope: 1
Equation: y = x - 2
Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.
y1 - y2 / x1 - x2 ⇒ 3 - 0 / 1 - - 2 ⇒ 3 / 3 ⇒ 1
This means we have a slope value of 1.
Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)
To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.
we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.
1 = 1(3) + b
Now, simplify.
1 = 1(3) + b
1 = 3 + b
-2 = b
So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.
I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !
Answer:
y = x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (3, 1)
m = [tex]\frac{1+2}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1
Note the line crosses the y- axis at (0, - 2) ⇒ c = - 2
y = x - 2 ← equation of line
The seniors on the student council bought a total of 36 plants to use in landscaping the front of the school. They bought some azaleas that cost $6 each and some lilies that cost $5 each. They spent a total of $196 on these plants. How many azaleas did the students buy?
a.) 18
b.) 16
c.) 20
d.) 5
Answer: B
Step-by-step explanation:
y = azaleas
x = lilies
6y + 5x =196 total cost
y + x = 36 total number of items
y = 36 – x
6(36 -x ) +5x =196
216 – 6x + 5x = 196
-x = 196 – 216
-x = -20
Divide by -1
X = 20 lilies
Plug into y equation
Y = 36 – 20
Y= 16 azaleas
To check
6(16) + 5(20) = 196
96 + 100 = 196
The answer is b 16 because you add the variables into the end of the numbers to identify you answer
Team one had 4 times less people than team two. After 6 people quit team two and 12 people were transferred from team two to team one, both teams became equal. How many people were there in team one?
please help me
Answer:
There were 10 people in team one.
Step-by-step explanation:
Let x= team one.
Let y= team two
Because there four times less people in team one than in two we know that x=(1/4)y
After 6 people quit and 12 people transfer from team two, the two teams become equal. Therefore, x + 12 = y - 6 - 12.
You can then insert the initial equation for x into the second equation and know that there were 10 people in team one and 40 people in team two.
The process to solve this problem involves setting up an equation based on the given information and solving for x, which represents the original number of people on team one. The numerical answer is 10 people.
Explanation:Let's denote the original number of people in team one as 'x'. Therefore, since team two had 4 times more people than team one, team two originally had '4x' people. The problem then tells us that 12 people were transferred from team two to team one and 6 people quit team two. This means that team two now has '4x - 12 - 6' people and team one has 'x + 12' people. Because both teams are equal in size after these changes, we can set these two expressions equal to each other. So, 'x + 12' is equal to '4x - 18'. Solving this equation for 'x' gives us x = 10.
So originally, team one had 10 people.
Learn more about Equation Solving here:https://brainly.com/question/18262581
#SPJ11
determine where f(x) = g(x) by graphing HELP PLEASE!!
Answer:
C: x=-4
Step-by-step explanation:
I would suggest using the website desmos.com to help you graph your equations.
As shown on the graph I posted, f(x)=g(x) at x=-4
Answer:
Step-by-step explanation:
Given are two functions f(x) and g(x)
[tex]f(x) = \frac{2}{x+3} +1\\[/tex]
and
[tex]g(x) = -|x+3|[/tex]
The two would be equal if
[tex]\frac{2}{x+3} +1=x+3 or -x-3\\\frac{2}{x+3} =x+2 /-x-4\\2=x^2+5x+6/-(x^2+7x+12)\\x^2+5x+6=0 / x^2+7x+14=0[/tex]
x=-4 or -1
Of these x=-4 is consistent as when x=-4, x<-3 hence
|x+3|= 1
So answer is -4
The population of fish in a certain lake follows the logistic growth function , where t is the time in years.
When will the population reach 20,000?
Answer:
46 years
Step-by-step explanation:
We have the logistic growth function [tex]f(t)=\frac{25,000}{1+8.25e^{-0.076t}}[/tex] and we want to find the time when the population will reach 20,000, to do it we just need to replace [tex]f(x)[/tex] with 20,000 and solve for [tex]t[/tex]:
[tex]f(t)=\frac{25,000}{1+8.25e^{-0.076t}}[/tex]
[tex]20,000=\frac{25,000}{1+8.25e^{-0.076t}}[/tex]
Divide both sides by 25,000
[tex]\frac{20,000}{25,000} =\frac{1}{1+8.25e^{-0.076t}}[/tex]
[tex]0.8=\frac{1}{1+8.25e^{-0.076t}}[/tex]
Multiply both sides by [tex]1+8.25e^{-0.076t}[/tex] and divide them by 0.8
[tex]1+8.25e^{-0.076t}=1.25[/tex]
Subtract 1 from both sides
[tex]8.25e^{-0.076t}=0.25[/tex]
Divide both sides by 8.25
[tex]e^{-0.076t}=\frac{0.25}{8.25}[/tex]
[tex]e^{-0.076t}=\frac{1}{33}[/tex]
Take natural logarithm to both sides
[tex]ln(e^{-0.076t})=ln(\frac{1}{33} )[/tex]
[tex]-0.076t=ln(\frac{1}{33} )[/tex]
Divide both sides by -0.076
[tex]t=\frac{ln(\frac{1}{33} )}{-0.076}[/tex]
[tex]t[/tex] ≈ 46
We can conclude that the population will reach 20,000 after 46 years.
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation , where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent.)
$1.75
$2.06
$2.39
$3.99
Answer: First Option
The approximate price of a pint of veggies is $1.75
Step-by-step explanation:
if v represents the cost of a pint of cut vegetables and f represents the cost of a pint of cut fruits then the equation that models the cost of "v" vegetables and "f" fruits is:
[tex]hv + 2.85f = z[/tex]
Where z represents the total cost of buying "v" vegetables and a "f" pints of fruits.
h represents the cost of a pint of cut vegetables .
We know that the cost "z" of 5 vegetables pints and 7 fruits pints is $ 28.70
So:
[tex]v = 5\\f = 7\\z = 28.70[/tex]
We substitute these values into the equation and solve for h.
[tex]h(5) + 2.85(7) = 28.70\\\\5h=28.70-2.85(7)\\\\5h=28.70-19.95\\\\5h=28.70-19.95\\\\h=\frac{8.75}{5}\\\\h=\$\ 1.75[/tex]
Help me with 9 and 10 please! With explanation
The answer to Number 9 is D and the answer to number 10 is D because in number 9, City P is above 0 and City R is a negative number and below 0. In number 10, Point A is at -20 and Point B is 5 less. That would get you the equation -20-5. -20-5 = -25. On a number line, -25 is less than -20 and would be on the left side of Point A. Hope this helps!
Whatever he or she said is correct
HELP QUICK
Mia bought some tomato plants for $9.98 and some potting soil for $6.89.
Round each amount to the nearest dollar.
About how much change did Mia get from $20.00?
A. about $1
B. about $5
C. about $17
D. about $3
Answer:
Mia bought some tomato plants for $9.98 and some potting soil for $6.89.
Round each amount to the nearest dollar.
About how much change did Mia get from $20.00?
A. about $1
B. about $5
C. about $17
D. about $3
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
$9.98 =$10
$6.89 = $7
10 + 7 =17
20 - 17 = 3
your answer would be d.
Helpp I’m so bad at this topic
Answer:
alternate angles
Step-by-step explanation:
the picture shows that there is a the Transversal (When two lines are crossed by another line)
on the inner side of each of those two lines are called Alternate Interior Angles
the definition of alternate angles is if the original two lines are parallel, the alternate angles are equal.
A sphere has a volume of 500/3 π cubic centimeters. What is the total surface area , in square centimeters, of the sphere
Answer:
[tex]\large\boxed{S.A.=100\pi\ cm^3\approx314\pi\ cm^2}[/tex]
Step-by-step explanation:
The formula of a volume of a sphere:
[tex]V=\dfrac{4}{3}\pi R^3[/tex]
R - radius
We have
[tex]V=\dfrac{500}{3}\pi\ cm^3[/tex]
Substitute and solve for R:
[tex]\dfrac{500}{3}\pi=\dfrac{4}{3}\pi R^3[/tex] divide both sides by π
[tex]\dfrac{500}{3}=\dfrac{4}{3}R^3[/tex] multiply both sides by 3
[tex]500=4R^3[/tex] divide both sides by 4
[tex]125=R^3\to R=\sqrt[3]{125}\\\\R=5\ cm[/tex]
The formula of a Surface Area os a sphere:
[tex]S.A.=4\pi R^2[/tex]
Substitute:
[tex]S.A.=4\pi(5^2)=4\pi(25)=100\pi\ cm^2[/tex]
[tex]\pi\apprx3.14\to S.A.\approx(100)(3.14)=314\ cm^2[/tex]
HELP ASAP PLEASEE!!!!
Answer:
In the TRUE column:
- 0.65 pound of almonds costs $2.20
- the price per pound of almonds equals $2.20/0.65
That's basically the same information, presented 2 different ways, and they match the info presented in the graph.
In the FALSE column:
- 2.2 pounds of almonds cost $0.65 (nope, wrong numbers)
- Almonds cost $0.65 per pound (nope, they cost $3.38 per pound)
In the CANNOT BE DETERMINED column:
- Each bag of almonds weighs 2.2 pounds. (Cannot be verified, but it's highly unlikely since the price point on the graph is at 0.65 pounds)
Write an equation for the line parallel to the given line that contains C.
Cleft parenthesis 3 comma 6 right parenthesis; y equals negative 4 x plus 5
ANSWER
[tex]y= - 4x + 18[/tex]
EXPLANATION
The given line has equation;
[tex]y = - 4x + 5[/tex]
The slope of this line is
-4
The given line is parallel to this line so it has the same slope:
[tex]m = - 4[/tex]
The equation of this line is in the form:
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the slope and the point:
(3,6)
[tex]y-6= - 4(x-3)[/tex]
[tex]y= - 4x + 12+ 6[/tex]
[tex]y= - 4x + 18[/tex]
math help uwu,, please nd thank <3
Answer:
Step-by-step explanation:
The equation of a circle is:
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius.
So here, the center is (-2, 4), and the radius is 5.
Here's a graph: desmos.com/calculator/5zqdaam1w2
The potential energy of an object is jointly related with the mass of the object and the height of the object. A 40-kg object is 2
meters off the ground. The potential energy of the object is 784 joules. A 10-kg object is 3 meters off the ground. What is the
potential energy of the 10-kg object?
Answer:
294 Joules.
Step-by-step explanation:
For this all you have to do is use the equation for PE or Potential Energy. Which is given by ... PE = mgh.
m = the mass in kg
g = the accerlation due to gravity (9.8 m/s^2)
h = the height of the object in meters.
so... 10 kg (9.8)(3m) = 294 J
Answer:
294!
Step-by-step explanation:
edge 2021 enjoy
f(x) = x^2 what is g(x)
ANSWER
[tex]g(x) = 9 {x}^{2} [/tex]
EXPLANATION
The given function is:
[tex]f(x) = {x}^{2} [/tex]
The function g(x) is a vertical compression of f(x).
This implies that:
[tex]g(x)=a\bullet f(x)[/tex]
[tex]g(x)=a\bullet {x}^{2} [/tex]
The function g(x) goes through (1,9).
[tex]g(1)=9[/tex]
[tex]a\bullet {(1)}^{2} = 9[/tex]
[tex]a = 9[/tex]
Hence the function is:
[tex]g(x) = 9 {x}^{2} [/tex]
This can be rewritten as:
[tex]g(x) = {(3x)}^{2} [/tex]
The correct choice is A.
Answer: g(x)=(3x)^2
Step by step:Ape
The following box-and-whisker plots represent the fuel economy rates (combined city and highway) for the entire fleet of two major car manufacturers. Which of the following statements is not true? The median fuel economy rate of Car Manufacturer A is about 7 miles per gallon higher than the median fuel economy rate of Car Manufacturer B. The range of the middle half of the rates for both manufacturers is about the same. One of the vehicles in Car Manufacturer B's fleet has the lowest fuel economy rate of either manufacturer. Car Manufacturer A's fleet has a larger range of fuel economy rates than Car Manufacturer B's fleet.
Final answer:
Car Manufacturer B does not have the lowest fuel economy rate in the fleet, making this statement false.
Explanation:
Car Manufacturer A:
The median fuel economy rate of Car Manufacturer A is about 7 MPG higher than Car Manufacturer B.
Car Manufacturer A's fleet has a larger range of fuel economy rates than Car Manufacturer B's fleet.
Car Manufacturer B:
The range of the middle half of the rates for both manufacturers is about the same.
One of the vehicles in Car Manufacturer B's fleet has the lowest fuel economy rate of either manufacturer.
From the given box-and-whisker plots, it can be observed that the statement 'One of the vehicles in Car Manufacturer B's fleet has the lowest fuel economy rate of either manufacturer' is not true.
How do I know if it’s closed or not? (Ignore the “Ben...”
Answer:
It is open if it is greater or less than >
It is closed if it is greater than or equal to or less than or equal to > (but with the line underneath it)
Step-by-step explanation:
Answer:
look at the point if it is closed it will look like a dot(10) if not it will look like an empty circle (11)
Step-by-step explanation:
x is greater than or equal to -2
x is less than -2
If x = 5 cm, y = 12 cm, and z = 13 cm, what is the surface area of the geometric shape formed by this net?
A. 82 sq. cm
B. 270 sq. cm
C. 210 sq. cm
D. 320 sq. cm
Answer:
the answer is C. 210 sq. cm
Step-by-step explanation:
Find the area of the triangle
The area of one of the triangular faces can be found by using the formula below.
a = 1/2 bh
a = 1/2 (5 cm) (12 cm)
a = 30 sq. cm
Since there are two triangular faces, multiply the area of one triangular face by 2. The area of two triangular faces is 60 cm2.
Next, find the area of each of the three rectangular faces using the formula, area = lw.
1st rectangle
a = lw
a = (5 cm) (5 cm)
a = 25 sq. cm
2nd rectangle
a = lw
a = (5 cm) (12 cm)
a = 60 sq. cm
3rd rectangle
a = lw
a = (5 cm) (13 cm)
a - 65 sq. cm
Add the three rectangle areas to find a total of 150 sq. cm.
To find the surface area of the triangular prism, add the area of the two triangular faces to the area of the three rectangular faces.
60 sq. cm + 150 sq. cm = 210 sq. cm
Michael hires a cab that charges a fare of $0.50 per mile, plus an initial charge of $2. Jason hires a cab that charges a fare of $0.50 per mile, plus an initial charge of $3.50.
At how many miles will the fares paid by Michael and Jason become equal?
use reapeted addition and keep adding +$0.50 until you get $4.00 for it to be equal with Jason's total which was $4.00
so it will be at 3 miles.
or just multiply micheals total by 3.:) hope it helped!!
Answer:
The fares paid by Michael and Jason will never be equal.
Step-by-step explanation:
a circle has a circumference of 6. it has an arc of length 1/3
What is the central angle of the arc in degrees
Answer:
Ф = 10°
Step-by-step explanation:
Regarding arc length, s: s = r·Ф, where Ф is the central angle in radians and r is the radius.
We need to find the central angle, Ф, in this problem.
We know that C = circumference = 6, and that this leads to r = 6/π.
Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:
Ф in radians = 1/3 / (6/π), or Ф = π/18 rad.
π 180°
Converting this into degrees, we multiply ------ by ----------
18 π rad
obtaining: Ф = 10°
Answer:
20
Step-by-step explanation:
Iteration question 6 please help
Answer:
option A
1 , 1 , 1 , 1
Step-by-step explanation:
Given in the question a function
f(x) = x²
initial value[tex]x_{0}[/tex] = -1
First iteration
f(-1) = (-1)²= 1
[tex]x_{1} =1[/tex]
Second iteration
f(1) = (1)² = 1
[tex]x_{2} =1[/tex]
Third iteration
f(1) = (1)² = 1
[tex]x_{3} =1[/tex]
Fourth iteration
f(1) = (1)² = 1
[tex]x_{4} =1[/tex]
You deposited $120 in an account with an interest rate of 4%. In how many years will the simple interest earned be $1.92?
Answer: About 5 months
Equation:
t = I / Pr
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = 1.92 / ( 120 × 0.04 ) = 0.4
t = 0.4 years
The time required to
accumulate simple interest of $ 1.92
from a principal of $ 120.00
at an interest rate of 4% per year
is 0.4 years (about 0 years 5 months).
Help please with these problems
the box is considered a prism
any prism the formula for volume is V=area of the base times height so
the first two boxes have the base of 16 plus the height of 3
so 16*3=48
48*2=96
the other box has the height of 5 so
16*5=80
in total they want the volume of all boxes so
96+80=176
answers B:)
if you need to elaborate lmk
Answer:
(B) 176 ft³
Step-by-step explanation:
Volume of the first box with 3 feet:
= 16 x 3
= 48 ft³
Volume of the second box with 3 feet:
= 16 x 3
= 48 ft³
Volume of the third box with 5 feet:
= 16 x 5
= 80 ft³
Total volume
= 48 + 48 + 80
= 176 ft³