Answer:
40
Step-by-step explanation:
A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.
To find the measure of angle DPE, we have to add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).
Let's add Angle FPD and Angle EPG.
105 + 35 = 140
Now, let's subtract that from 180.
180 - 140 = 40
So, the measure of Angle DPE is 40. I hope this helps! Have a lovely day! (i basically just copy-and-pasted my answer to problem 17 because it was the same answer as this lol)
A computer and printer cost a total of $1101. The cost of the computer is two times the cost of the printer. Find the cost of each item.
Cost of computer:
Cost of printer:
Answer:
Cost of Computer: $734
Cost of Printer: $367
Step-by-step explanation:
These two equations can represent the costs; x = price of computer; y = price of printer.
x + y = 1101
2y = x
If you graph these, you get an intersection point of (734, 367). This means that the only place that both equations are fulfilled is on (734, 367).
Then you can check your work:
734+367=1101
367*2=734
Find the roots of p(x)=x^3-10x^2+25
Answer:
{−1.47596288535, 1.73968983949, 9.73627304586}
Step-by-step explanation:
The roots of this cubic are real and irrational, as indicated by a graph of it. (Rational roots would be divisors of 25.) The same graphing calculator can provide an iterative solution to 12 significant figures. Here, we have used Newton's method iteration. The iteration function is ...
g(x) = x -p(x)/p'(x) . . . where p'(x) is the derivative: 3x^2-20x
We started each iteration using the value shown on the graph.
x ∈ {−1.47596288535, 1.73968983949, 9.73627304586}
__
The second attachment shows another calculator's solution. The values of x that are roots are the opposite of the constant in each binomial factor. You will notice this solution has a couple more significant figures than the one shown above.
__
Additional comment
There are several formulas for finding the "exact" roots of the cubic. Here's a trig approach that works reasonably well for cubics with 2 or 3 real roots.
We can define, for p(x) = x³ +ax² +bx +c, ...
s = -a/3 = 10/3
t = b -a²/3 = -100/3
r = a(2a² -9b)/27 +c = -10(200)/27 +25 = -1325/27
d = √(-4t/3) = √(400/9) = 20/3
h = 4r/d³ = -53/80
Now, the roots are ...
x = s +d·sin(arcsin(h)/3 +2nπ/3) . . . . for n=-1, 0, 1
= 10/3 +20/3·sin(arcsin(-53/80)/3 + n(2π/3)) . . . . . "exact solution"
= (10/3)(1 +2·sin(-13.8303° +n(120°))
= -1.47596..., or 1.73969..., or 9.73627...
Find the missing endpoint given one endpoint and the midpoint of a line segment. The midpoint of line segment AB is (2,-5) If the coordinates of a point A are (4,4), what are the coordinates of B
Answer:
(0, -14)
Step-by-step explanation:
Midpoint formula: [tex](x_m, y_m) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]
Substitute known value: [tex](2, -5) = (\frac{4 + x_2}{2} ,\frac{4+y_2}{2} )[/tex]Find [tex]x_2[/tex] : [tex]2 = \frac{4+x_2}{2}[/tex] >> [tex]4 = 4 +x_2[/tex] >> [tex]0 = x_2[/tex] Find [tex]y_2[/tex] : [tex]-5 = \frac{4+y_2}{2}[/tex] >> [tex]-10 = 4 + y_2[/tex] >> [tex]-14 = y_2[/tex]Hi! Could someone help me with this?
Answer:
480 in^3
Step-by-step explanation:
Volume = B*h
Base of the triangle = B*h*1/2
= 10*8*1/2
B = 40
Volume = 40*12 = 480
7 – (5t - 13) = -25
i need help with this question
Answer:
t=9
Step-by-step explanation:
Solve -
Distribute :7-(5t - 13) = - 25
7 - 5t + 13 = - 25
Add the numbers :7 – 57 + 13 = -25
20-51 = -25
Rearrange terms :20-51 = -25
-51+ 20 = -25
Subtract 20 from both sides :-51 + 20 = -25
-51+20-20-25-20
Simplify :Subtract the numbers
-51+ 20-20-25-20
-5:=-25-20
Subtract the numbers
-51 = -25-20
-51 = -45
-51 = -45
Divide both sides by the same factor : -51 = -45 -5t -5 -45- -5 =
Simplify : Cancel terms that are in both the numerator and denominator :: -5t - = -45 - -5
t = - 45 - -5
Divide the numbers :
t = - 45 - -5 ” t=9 ” here’s the answer
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-intercepts in the graph of g(x)= (x+2)2 -7
Need help please!
1.) m varies directly as a and b; m=10 when a=4 and b=7. Find m when a=11 and b=8.
2.) q varies jointly as x and y. Find q when x=2 and y=5, given that q=90 when x=3 and y=5.
3.) F varies jointly as x and y. If F=1 when x=1/2 and y=1/3, find F when x=2 and y=3.
4.) Let x be proportional to p and q^2, and inversely proportional to r^3. If x=9 when p=4, q=9, and r=3, find x if p=6, q=2, and r=5.
Answer:
4) v=kx^2/y^3
2= k(4^2)/(3^3)
2 =k16/27
k = 2(27/16) = 27/8
v = (27/8)(3^2)/(2^3 = (27/8)(9/8) = 243/64
v = 243/64 when x=3 and y=2
Step-by-step explanation:
here
F varies jointly as x and y and the value of x is 3 and y is 2.
We have given that,
1.) m varies directly as a and b m=10 when a=4 and b=7. Find m when a=11 and b=8.
What is the formula?v=kx^2/y^3
2= k(4^2)/(3^3)
2 =k(16/27)
k = 2(27/16)
k = 27/8
v = (27/8)(3^2)/(2^3)
= (27/8)(9/8)
= 243/64
v = 243/64 when x=3 and y=2.
Therefore we get the value of x is 3 and y is 2.
To learn more about the inverse value visit:
https://brainly.com/question/3831584
#SPJ2
How many terms are in the expression? 9a + 6b + 3c + 1 A) 1 B) 2 C) 3 D) 4
Answer:
D.) there is 9a and 6b ,3c and 1 thats four different terms
Step-by-step explanation:
Have a nice day! :D
In the past year, Jose watched 32 movies that he thought were very good. He watched 80 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?
Answer:
40%
Step-by-step explanation:
Givens and Formula
% Good = (number good / total number) * 100
% Good = ?
Number Good = 32
Total Number = 80
Solution
% Good = (32 / 80) * 100
% Good = 2/5 * 100
% Good = 40%
A line passes through ( – 8,6) and ( – 2, 3).
Find the y-intercept, b, of the line.
Answer:
[tex]\displaystyle [0, 2][/tex]
Step-by-step explanation:
First, find the rate of change [slopes]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{8 - 2} = m; \frac{-3}{6} \\ \\ -\frac{1}{2} = m[/tex]
We now plug the above information into the Slope-Intercept Formula. It does not matter which ordered pair is selected:
[tex]\displaystyle y = mx + b \\ \\ 3 = -\frac{1}{2}[-2] + b \hookrightarrow 3 = 1 + b; \boxed{2 = b} \\ \\ y = -\frac{1}{2}x + 2[/tex]
OR
[tex]\displaystyle y = mx + b \\ \\ 6 = -\frac{1}{2}[-8] + b \hookrightarrow 6 = 4 + b; \boxed{2 = b} \\ \\ y = -\frac{1}{2}x + 2[/tex]
Therefore, the line passes through the y-intercept of [tex]\displaystyle [0, 2].[/tex]
I am joyous to assist you at any time.
Find the coordinates that partitions (-8,-2) and (6, 19) with the ration 5:2
Step-by-step explanation:
Using the section formula , if a point ( x , y ) divides the line joining the points ( x1 , y1 ) and ( x2 , y2 ) into the ratio m : n , then
( x , y ) = ( mx2 + nx1 / m + n , my2 + ny1 / m + n)
Let the points be A(-8,−2) and B(6,19). Let a point P(x,y) divides AB in the ratio 5:2
Therefore, we have
[tex]P(x,y) =( \frac{5 \times 6 + 2 \times - 8}{5 + 2} , \: \frac{5 \times 19 + 2 \times - 2}{5 + 2}) [/tex]
[tex]P(x,y) = ( \frac{30 + ( - 16)}{7} , \: \frac{95 + ( - 4)}{7} )[/tex]
[tex] P(x,y) = (2, 13)[/tex]
Answer:
(2, 13)
Step-by-step explanation:
Let P be the point that partitions the segment.
Let M = (-8, -2)
Let N = (6, 19)
If point P partitions the segment MN in a 5 : 2 ratio, then to calculate the x and y values of point P:
divide the difference of the x (or y) values of the two endpoints by the sum of the ratiosmultiply this by 5, since P partitions the segment at 5 : 2add this to the x (or y) value of point Mx-value of P:
[tex]\sf \implies \left(\dfrac{x_N-x_M}{5+2}\right)\cdot5+x_N[/tex]
[tex]\sf \implies \left(\dfrac{6-(-8)}{5+2}\right)\cdot5+(-8)=2[/tex]
y-value of P:
[tex]\sf \implies \left(\dfrac{y_N-y_M}{5+2}\right)\cdot5+y_N[/tex]
[tex]\sf \implies \left(\dfrac{19-(-2)}{5+2}\right)\cdot5+(-2)=13[/tex]
[tex]\sf P=(2,13)[/tex]
40 POINTS+BRAINILYIEST
What is the volume of the solid figure?
The solid shape is made up of two rectangular prisms. The first rectangular prism has a height of 10 inches, length of 5 inches, width of 5 inches and with connecting to the second rectangular prism, has a smaller height of 5 inches. The second rectangular prism has a length of 15 inches, height of 5 inches, width of 5 inches. The total length of the solid is 20 inches.
Answer:
A solid figure has three dimensions while a plane figure has only two dimensions. The space enclosed by a solid figure is called its volume. The volume of a solid figure is measured in cubic units such as cubic centimetres (cm3) and cubic metres (m3).
Step-by-step explanation:
Hope this helps....
Answer:
i think we're in the same class lol, but i just took the quick check and the answer was 625in, which would be A
Step-by-step explanation:
help need help fast !!!!!!!!!!
Answer:
Step by step explanation:
Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 377 miles, what percentage of the trip’s distance have they completed?
None of these answer this question and I cant get it anywhere else
Answer:
325/377×100= 116% it means they completed 116%of the trip
How many subsets does the following set (4,5,6,7,8) have?
Answer:Number of subsets will be given by 2^n, where n is the number of elements in the set.
Step-by-step explanation:
Number of elements is 5. Therefore, the number of subsets that can be formed from the given set is 2^5 = 32.
Enter the number of rows needed and the number of seats that will be left over.
Answer: 6.
Step-by-step explanation: The total number of seats is 328. There are 14 rows with 23 seats in each row. To solve this, we need to multiply the amount of rows with the amount of seats in each row, which would look like this:
14 x 23 = 322.
As you can see, there are only 322 seats. However, there are 328 seats in total, so there are 6 extra seats that aren't in a specific row. Therefore, there are 6 extra seats.
Hope this helps! :)
Find the distance between the points ( -22.79, 0.76) and (-12.64, 12.02)
Answer:
Step-by-step explanation:
CAN SOMEBODY HELP ME PLEASE
Answer:
(A) P(t) = 220t - 435 390
(B) predicted moose population = 6370
Step-by-step explanation:
the longer working shows the explanation and working for part A while the shorter working is for part B
Would like to know how to do this problem.
well it would be very helpful thank you
5 divided by 62.55 need help asap due today and also i cant watch ads
1. A group of 34 women sells at least one of the following foodstuffs: yam, maize and plantain. Of those, 22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain and no one sells all three items.
i. Draw a Venn diagram to illustrate this information
ii. Find the number who sell maize aiind plantain
iii. What is the probability that a woman selected at random from the group sells plantain only?
Please see Explanation
Step-by-step explanation:[tex]a)\ As\ shown\ in\ the\ figure.[/tex]
[tex]b)\ According\ the\ picutre,[/tex]
[tex]we\ know\ only\ 3\ people[/tex]
[tex]sell\ maize\ and\ 5\ people\ sell\ plantain.[/tex]
I hope this helps you
:)
The 3 people sell only maize, 5 people sell only plantain and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.
It is given that a group of 34 women sells at least one of the following foodstuffs: yam, maize, and plantain.
22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain, and no one sells all three items
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
i) Venn diagram is shown in the picture below:
ii) As per the picture 3 people sell only maize, 5 people sell only plantain
and 4 people sell maize and plantain.
iii) Total number of women in the group = 34
The number of women who sells plantain = 5
We know the probability = [tex]\rm \frac{favorable \ event}{total \ outcome}[/tex]
Probability [tex]=\frac{5}{34} \\\\\\= 0.147\\[/tex]
Thus, the 3 people sell only maize, 5 people sell only plantain
and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.
Learn more about the Venn diagram here:
https://brainly.com/question/1024798
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
BC = 11
hope it helps...!!!
Answer:
x = 11
BC = 48
Step-by-step explanation:
11 + 37 = 48 and 4(11) + 4 = 48 and since they are both being multiplied by 11 in place of the x, that makes it congruent. BC is 48 because 11 + 37 = 48. hope it makes sense
→ 12 cm.
3,5cm.
16cm.
>3.5cm.
Find the total
Volume.
Can someone please help me
Answer:
Step-by-step explanation:
CONE:
height of cone = h = 12 cm
r =3.5 cm
[tex]Volume \ of \ cone =\dfrac{1}{3}\pi r^{2}h[/tex]
[tex]=\dfrac{1}{3}*\dfrac{22}{7}*3.5*3.5*12\\\\\\=22*0.5*3.5*4\\\\= 154 \ cm^{3}[/tex]
Cylinder:
h = 16 cm
r = 3.5 cm
[tex]Volume \ of \ cylinder = \pi r^{2}h\\[/tex]
[tex]= \dfrac{22}{7}*3.5*3.5*16\\\\\\= 22*0.5*3.5*16\\\\= 616 \ cm^{3}[/tex]
Total volume = 154 + 616
= 770 cm³
help for 40 points and brainliest
[tex]\sf 2^{-6}[/tex]
these two options apply
[tex]\rightarrow \sf \dfrac{1}{2^6}[/tex]
[tex]\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}[/tex]
in decimals : 0.015625
Answer:
Option C and D
Step-by-step explanation:
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Example:
If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.
This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
First, take the exponent's reciprocal as said above.
⇒ [tex]2^{-6}[/tex]
⇒ [tex]\frac{1}{2^{-6} }[/tex]
Now, change the exponent's sign.
⇒ [tex]\frac{1}{2^{-6} }[/tex]
⇒ [tex]\frac{1}{2^{6} }[/tex]
Now, simplify the term.
⇒ [tex]\frac{1}{2^{6} }[/tex]
⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }[/tex]
⇒ [tex]\frac{1}{8 \times 8}[/tex]
⇒ [tex]\frac{1}{64}[/tex]
Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
A)------------------------------------------------------------------------------------------------------
Keep in mind that the exponent is the number of times the base needs to multiply itself.
[tex]-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]
NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.
[tex]-2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]
⇒ [tex]2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]
⇒ [tex]64[/tex]
[tex]-2^{6} = 64 \neq \frac{1}{64}[/tex]
B)------------------------------------------------------------------------------------------------------
Since -64 is already a simplified term, we can compare this with the simplified result.
[tex]-64 \neq \frac{1}{64}[/tex]
C)------------------------------------------------------------------------------------------------------
[tex]\frac{1}{2^{6}}[/tex]
⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }[/tex]
⇒ [tex]\frac{1}{8 \times 8 }[/tex]
⇒ [tex]\frac{1}{64}[/tex]
[tex]\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}[/tex]
D)------------------------------------------------------------------------------------------------------
[tex]2^{-2} \times 2^{4} \times 2^{-8}[/tex]
⇒ [tex]\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }[/tex]
⇒ [tex]\frac{1}{4} \times 16 \times \frac{1}{256}[/tex]
⇒ [tex]\frac{1}{4} \times 1 \times \frac{1}{16}[/tex] [16² = 256]
⇒ [tex]\frac{1}{4} \times \frac{1}{16}[/tex]
⇒ [tex]\frac{1}{64}[/tex]
[tex]2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}[/tex]
E)------------------------------------------------------------------------------------------------------
[tex]2^{3} \times 2^{-2}[/tex]
⇒ [tex]2^{3 - 2}[/tex]
⇒ [tex]2^{1} = 2[/tex]
[tex]2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
HELP ITS FOR RIGHT NOW!!!!!
You are building a tabletop. You will use the plan shown, except that you will make all dimensions 2 1/2 time as large. What will be the area of your tabletop?
Answer:
109.375
Step-by-step explanation:
We need to multiply all of the lengths and widths by 2 1/2 in order to make the dimensions 2 1/2 times larger.
For length:
[tex]5\frac{1}{4}[/tex] x [tex]2\frac{1}{2}[/tex] = 13.125 or [tex]13\frac{1}{8}[/tex]
For width:
[tex]3\frac{1}{3}[/tex] x [tex]2\frac{1}{2}[/tex] = 8.333 or [tex]8\frac{1}{3}[/tex]
Then to find the area use the equation:
A = l x w (Area = length x width)
And plug in the values:
A = [tex]13\frac{1}{8}[/tex] x [tex]8\frac{1}{3}[/tex] = [tex]\frac{875}{8}[/tex] or [tex]109\frac{3}{8}[/tex] or 109.375
1. Determine the correlation coefficient for the following data.
4 8 10 9 11 6
y 1.6 2.4 2.0 2.6 2.1 2.2
Х
Answer:
mm what's that?
Step-by-step explanation:
wala akong pake char
x^3-125=0
what’s the nth root
What is the range of this data set?
36.6, 39.8, 33.3, 34.8, 35.8, 39.6, 36.7, 36.9, 37.5, 32.2, 33.1, 33.3
Answer:
Step-by-step explanation:
39.8 - 32.2 = 7.6
Range is subtracting the highest and lowest numbers by each other .
Based on the calculations, the range for this data set is equal to 7.6.
What is a range?In Mathematics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.
Mathematically, range is calculated by using this formula;
Range = Highest number - Lowest number
From the given data set, we have:
Highest number = 39.8.Lowest number = 32.2.Substituting the given parameters into the formula, we have;
Range = 39.8 - 32.2
Range = 7.6.
Read more on range here: https://brainly.com/question/9393969
Jenny brought an antique vase for $ 120 and advertises to sell it at a profit of 35% calculate the selling cost
35% of 120 is :
120 x 0.35 = 42 $ profit
selling cost 120+42=162$
Gabrielle is 15 years older than Mikhail. The sum of their ages is 81. What is Mikhail's age?
Answer:
33
Step-by-step explanation:
let g be Gabrielle age
m be mikhail age.
So according to this problem,
[tex]g + m = 81[/tex]
[tex]m + 15 = g[/tex]
Subsitue m+15 for g.
[tex](m + 15) + m = 81[/tex]
[tex]2m + 15 = 81[/tex]
[tex]2m = 66[/tex]
[tex]m = 33[/tex]
So mikhail age is 33.