Answer:
A
Step-by-step explanation:
francis is ten years old. ben is twice as old as francis .what is the age of ben?
Answer:
Collage math (hehe) ... Ben is 20
Step-by-step explanation:
Give me Brainiest Answer Award please and thank you! :D
Arithmetic
If Francis is ten years old, then Ben is twenty.
10x2=20
(x + 3)^2 = 12 ? need answers ASAP
Answer:
option c is the correct answer
Suppose that A = {2,4,6}, B = {2,6}, C = {4,6}, and D = {4, 6, 8}. Determine which of these sets are subsets of which other of these sets.
Answer:
Sets B and C are subsets of set A
he function a = –2x2 + 8x + 5 models the altitude a in feet of a ball thrown in the air and the horizontal distance in feet that the ball travels. Which is the vertex form of the function? (i just need part b answer)
Answer:
for part b the vertex is (2, 13)
Step-by-step explanation:
no (ice)
Answer:
It could be (2, 13)..
Step-by-step explanation:
were there leftovers?
Answer:
Yes, if you didn't eat all 5 of your pizzas young man.
Step-by-step explanation:
help with this please
Answer:
I think the answer to this would be 93.40
Find all Values of b that will make the polynomial a perfect square trinomial.
25z^2+bz+36
Please write out how to do this so I can see the steps of what I am doing wrong. thank you!
Answer:
There are two solutions for [tex]b[/tex]: [tex]b = + 30\cdot z[/tex], [tex]b = -30\cdot z[/tex]
Step-by-step explanation:
By Algebra, we know that a polynomial is a perfect square trinomial if it is of the form:
[tex]a^{2} + 2\cdot a \cdot c + c^{2} = (a + c)^{2}[/tex] (1)
By direct comparison, we have the following system:
[tex]a^{2} = 25\cdot z^{2}[/tex], [tex]c^{2} = 36[/tex], [tex]2\cdot a \cdot c = b[/tex].
There are two possible solutions for [tex]b[/tex]:
1) [tex]a = \pm 5\cdot z[/tex], [tex]c = \pm 6[/tex], [tex]b = + 30\cdot z[/tex]
2) [tex]a = \pm 5\cdot z[/tex], [tex]c = \mp 6[/tex], [tex]b = -30\cdot z[/tex]
iv)
The sum of
four numbers in G.P. is 80 and the A.M. between the
first and the last is 28. Show that the numbers are 2, 6, 18, 54.
Answer:
Step-by-step explanation:
Given numbers : 2 , 6, 18, 54
Since common ration between numbers,
[tex]common \ ratio \ in \ GP , \ r = \frac{a_n}{a_{n-1}} = \frac{6}{2} = 3[/tex]
So the numbers are in GP.
Now Sum of the numbers = 2 + 6 + 18 + 54 = 80
AM, arithmetic mean between first and last number :
[tex]\frac{54+2}{2} = \frac{56}{2} =28[/tex]
All the conditions are true.
I would appreciate if someone could answer this question:)
Answer:
x = 1
Step-by-step explanation:
Recall: adjacent angles supplementary
Therefore,
65x + 115° = 180°
Subtract 115° from each side
65x + 115° - 115° = 180° - 115°
65x = 65
Divide both sides by 65
65x/65 = 65/65
x = 1
what is the slope of a line between (-4,14) and (-16,8)
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
slope :
[tex]slope \: = \: \frac{y2 - y1}{x2 - x1} = \frac{8 - 14}{ - 16 - - 4} = \frac{ - 6}{ - 12} = \frac{1}{2} [/tex] = 0.5
Simplify (4x^3)^5 ????
Answer:
1024x^15
Step-by-step explanation:
First, we'll do 4 to the 5th power which results in 1024
Next, we'll multiply the exponents following the laws of exponents, so 3 times 5=15
This results in 1024x^15
Hope I helped :)
Answer:
[tex]1024 {x}^{15} [/tex]
Step-by-step explanation:
[tex](4 {x}^{3} ) ^{5} \\ {4}^{5} \times {x}^{3 \times 5} \\ 1024 {x}^{15} [/tex]
hope this helps you.
Have a nice day!
A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3, -6)(3,−6). What is the vertex of the function defined as g(x)=f(x)+2g(x)=f(x)+2?
Explanation:
The vertex of f(x) is (3,-6)
The vertex of g(x) is (3,-4). We keep the x coordinate the same, but add 2 to the y coordinate. This shifts the vertex 2 units up.
6.Write the equation of the line that goes through (4, –6) and (1, 2). Put your answer in Slope–Intercept Form.
Answer:
Step-by-step explanation:
y ≈ -2.667x + 4.667
A density curve for all the possible weights between 0 pounds and 10 pounds is in the shape of a rectangle. What is the height of the rectangle in this density curve? O A. 0.01 OB. 0.001 O c. 0.1 O D. 0.0001 SUBMIT
Answer:
0.1
Step-by-step explanation:
For a density curve, total area = 1
Probability lies in between 0 and 1
The Area of rectangle :
Area = Length * width
Length = 0 - 10 = 10
Area = 1
Hence,
Area = Length * width
1 = 10 * w
1 = 10w
w = 1 /10
w = 0.1
Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number of subjects in an experiment) on each of the following:
1. Increases
2. Decreases
3. Unaffected
A. The margin of error of a 95% confidence interval.
B. The P-value of a test, when H0 is false and all facts about the population remain unchanged as n increases.
C. The power of a fixed level test when the alternative hypothesis, and all facts about the population remain unchanged.
Answer:
Margin of Error decreases
Pvalue decreases
Power increases
Step-by-step explanation:
The margin of error decreases as sample size increases given the same level of confidence, hence, the interval gets narrower.
The margin of error = (Zcritical * σ/√n) ; where, n is the denominator, as the denomination increases, the obtained value will decrease, hence, the margin of error.
When we have a false H0, then we expect a statistical result which will reject H0, with all facts remaining unchanged , increase in sample size n, will lead to decrease in Pvalue, because a lower P value increases the significance of statistical test needed to reject H0.
The power of a fixed level test when the null hypothesis is true, higher power is required to reject the null , increasing n will increase the probability of rejecting H0, by increasing the power of a fixed level test.
Find the equation of the quadratic function determined from the graph above.
Nonsense = Report
Find the equation of the quadratic function determined from the graph above.
Solution:-The vertex of the graph of the quadratic function is (2, -3). The graph passes through the point (5, 0). By replacing x and y with 5 and 0, respectively, and h and k with 2 and -3, respectively we have,
[tex]\sf\rightarrow{y=a(x-h)²+k}[/tex]
[tex]\sf\rightarrow{O=a(5-2)²-3}[/tex]
[tex]\sf\rightarrow{0=a(3)²-3}[/tex]
[tex]\sf\rightarrow{3=9a}[/tex]
[tex]\sf\rightarrow{a=\frac{1}{3}}[/tex]
Answer:-Thus, the quadratic equation is...[tex]\sf\rightarrow{y=\frac{1}{3}(x-2)²-3}[/tex]
or,
[tex]\sf{y=\frac{1}{3} \: x²-\frac{4}{3} \: x-\frac{5}{3}}[/tex]
=====================#Hope it helps!
(ノ^_^)ノ
Answer:
y = (x-2)²/3 - 3
Step-by-step explanation:
the vertex is at (2,-3), so the vertex form of the function is
y = A(x-2)²-3
where A is a constant to be found.
We see that when x=5, y=0, so substitute values to find A.
0 = A(5-2)² - 3
solve for A to get
A(3²) = 3
A = 1/3
So the equation is
y = (x-2)²/3 - 3
Check for x = -1
y = (-1-2)²/3 - 3 = 0 checks
A box-and-whisker plot titled Move length in minutes is shown. The number line goes from 80 to 400 in increments of 10. The whiskers range from 81 to 138, and the box ranges from 95 to 128. A line divides the box at 108. Describe the shape of the graph. Although the mean cannot be determined from the graph, can an approximation of the mean be determined? Explain.
Answer:
the answer is b
Step-by-step explanation:
choose the best selection for the quadrilateral with vertices at the following points: (-3,0), (3-, -3), (0, -3), (0,0)
Answer:
B. Square
Step-by-step explanation:
UI is uecreasing. (16 ---
Water is poured into a right circular cylinder of radius 8 cm at the rate of 18
cu.cm/min. Find the rate at which the level of water is rising in the cylinder.
of 24 cu.cm/min. The
024
+2]
Answer to this ?
Answer:
[tex]4 \times \frac{11}{12} [/tex]
also equals 4.9
Find the area of the bedroom with the shape shown in the figure, in square feet. A) 67 ft2 B) 106 ft2 C) 506 ft2 D) 548 ft2
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
Firstly , See the attached picture! :) I splitted the provided figure into two rectangles i.e namely small rectangle & big rectangle ![tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
Find out the area of small rectangle having length of 14 ft & width of 12 ft :[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]
Find out the area of big rectangle having length of 20 ft and width of 19 ft :[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]
Now , Add the area of small rectangle & area of big rectangle :[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]
[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]
[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]
[tex] \large{ \boxed{ \tt{⇝ \: OUR\: FINAL\: ANSWER : \boxed{\underline{ \tt{D. \: 548 \: {ft}^{2} }}}}}}[/tex]✺ WORK HARD! So that tommorrow , your parents can be recognized by your name!♡Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore !☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Solve the equation by factoring. 3x^2-5x-12=0
Answer:
x = 3
[tex]x=-1\frac{1}{3}[/tex] or [tex]x=-\frac{4}{3}[/tex]
Step-by-step explanation:
3x² - 5x - 12 = 0
Method 1: Factoring
3x² + 4x - 9x - 12 = 0
(3x² + 4x) + (- 9x - 12) = 0
x(3x + 4) - 3(3x + 4) = 0
(x - 3)(3x + 4) = 0
Two separate equations
x - 3 = 0
3x + 4 = 0
x - 3 = 0
x - 3 + 3 = 0 + 3
3x + 4 = 0
3x + 4 - 4 = 0 - 4
3x = - 4
[tex]\frac{3x}{3} :-\frac{4}{3}[/tex]
[tex]x=-1\frac{1}{3}[/tex]
Method 2: Quadratic Formula
Ignore the A before the ±, it wouldn't let me type it correctly.
[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]
3x² - 5x - 12 = 0
a = 3
b = - 5
c = - 12
[tex]x=\frac{-(-5)±\sqrt{(-5)^{2} -4((3)(-12))} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±\sqrt{25 -4((3)(-12))} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±\sqrt{25 +144} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±\sqrt{169} }{2(3)}[/tex]
[tex]x=\frac{-(-5)±13}{2(3)}[/tex]
[tex]x=\frac{5±13}{6}[/tex]
Two separate equations
One must have a + (positive) and the other will have a - (negative).
[tex]x=\frac{5+13}{6}[/tex]
[tex]x=\frac{18}{6}[/tex]
x = 18 ÷ 6
x = 3
[tex]x=\frac{5-13}{6}[/tex]
[tex]x=\frac{-8}{6}[/tex]
x = - 8 ÷ 6
[tex]x=-1\frac{1}{3}[/tex]
Triangle DEF measures as shown below. What is x in the diagram?
E
50"
1050
F
D
Answer:
option D
Step-by-step explanation:
Exterior angle = sum of interior
105 = 50 + x
105 - 50 = x
55° = x
What is the length of the line segment?
Answer:
SQRT(8-1)^2+(3-7)^2
sqrt49+16= sqrt65
Step-by-step explanation:
To prove that AVWZ - AYXZ by the SAS similarity
theorem, which other sides or angles should be used?
O WV and XY
O WV and ZY
O
O < VWZ =
Answer:
C. <VZW ≅ <YZX
Step-by-step explanation:
The SAS Similarity theorem says that two triangles are considered similar to each other, when 2 of the corresponding side lengths of the triangles are proportional to each other, and also the included angles in each triangle are congruent.
We are given the two sides of each triangle that corresponds to each other already. So, the next item to be used in order to prove that both triangles are similar is the corresponding included angles that should be congruent to each other. Thus:
The included angle, <VZW in ∆VWZ corresponds to the included angle, <YZX in ∆YXZ.
Therefore:
<VZW ≅ <YZX
A one pound bag of skittles contains 300 pieces of which 28% are red. How many skittles were red?
Answer:84
Step-by-step explanation:
If cotangent of theta is < 0, in which quadrant(s) could the terminal side of
angle theta lie?
Q2 and Q4
02 and 03
Q3 only
04 only
Answer:
Q2 and Q4
Step-by-step explanation:
Trigonometric functions and quadrants:
In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.
In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.
In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.
In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.
Cotangent:
The cotangent is the cosine divided by the sine.
Cotangent negative, which quadrants?
It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.
Find the area of the regular polygon. Round to the nearest tenth.
Answer:
3462.8 squared unit
Step-by-step explanation:
Applying,
A = nh²tan(360/n)......... equation 1
Where A = area of the regular polygon, n = number of sides of the polygon, h = length of the apothem.
From the question,
Give; n = 5 sides, h = 15
Substitute these values into equation 1
A = 5×15²×tan(360/5)
A = 1125×tan72
A = 1125×3.078
A = 3462.75
A = 3462.8 squared unit
Simplify 2x-x+4x pls help me out
Answer:
Step-by-step explanation:
2x-x = x
x+4x = 5x
5x is the answer
Answer:
5x
Step-by-step explanation:
2x - x + 4x =
x + 4x =
5x
Please :/ 38 in scientific notation
Answer:
3.8 x [tex]10^{1}[/tex]