Answer:
b must be positive
Step-by-step explanation:
if a is less than -1
that means to get smaller numbers
b needs to be positive
so that when a is multiplied by b you would have
numbers that are more negative
Answer:
b > 1
Step-by-step explanation:
Given:
a < -1 ab < aSubstituting a = -1 into ab < a
⇒ (-1)b < -1
⇒ -b < -1
⇒ b > 1
If a < -1 then a is negative. If ab < a then ab is also negative.
In order for ab to be negative (when a is negative) b must be positive.
For ab < a then b > 1.
Proof
If b = 0.5 and a = -1.5 then ab = -0.75
As -0.75 > -1.5 then ab > a so this cannot be true.
If b = 1.5 and a = -1.5 then ab = -2.25
As -2.25 < -1.5 then ab < a so this is true.
Therefore b > 1
Henry has a box in the shape of a
square pyramid. He wants to wrap
the box with paper. If the base has
side lengths of 5 in. and the lateral
height is 8 in., about how much
wrapping paper will he need?
The amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Henry has a box in the shape of a square pyramid.
He wants to wrap the box with paper.
If the base has side lengths of 5 in. and the lateral height is 8 in.
Then the amount of the wrapping paper that he needs to cover the pyramid will be
[tex]\rm Area = 4 \times \dfrac{1}{2} \times 5 \times 8 + 5 \times 5\\\\\\Area = 80 + 25\\\\\\Area = 105 \ in^2[/tex]
Thus, the amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.
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H E L P
M E
ASAP
I NEEED THEE ANSWER FOR IT BUT I'D ALSO LIKE TO KNOW THE FORMULA I DON'T UNDERSTAND
well, the shape is a trapezoid, a trapezoid has two parallel sides only, the parallel sides are called "bases", and the distance between the parallel sides is its "height".
so in the trapezoid above, it has two parallel sides, 20 m and 8 m, and the height or distance between both is 7 m, so
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=20\\ b=8\\ h=7 \end{cases}\implies \begin{array}{llll} A=\cfrac{7(20+8)}{2}\implies A=\cfrac{7(28)}{2} \\\\\\ A=7(14)\implies A=98~m^2 \end{array}[/tex]
Evaluate
(-315) ×4
with the correct explaination
[tex]\Large\textsf{\textbf{Answer\::}}[/tex]
-1, 260
[tex]\large\textsf{\textbf{Calculations\;:}}[/tex]
First , take a look at the signs of the numbers we're asked to multiply .
One of them is negative , and the other one is positive .
If we have a negative number times a positive number , the product is a positive number .
Multiply :
(-315) × 4
-1, 260 (Ans)
[tex]\footnotesize\text{hope\:helpful~}[/tex]
actually help... if u dont hve the answer, dont respond.
Answer:
y = 1/3*x -3
Step-by-step explanation:
Method 1:
Grab two random points from the line.
(0,-3) and (3,-2)
Using the Point-Slope Form solve for m.
(-3 - (-2)) = m * (0 - (3))
-1 = m * (-3)
m = 1/3
Turning Point-Slope form into Slope intercept Form.
(y - (-3)) = 1/3 * (x - 0)
y + 3 = 1/3x
y = 1/3 - 3
Method 2:
Look at the y-intercept since y-int becomes our b. b = -3
From the y-int count rise/run as thats our Slope m. m = 1/3
Slope-intecept Form:
y = 1/3*x -3
Answer:
y=1/3x-3
rise/run= 1/3
y-int. is -3
Step-by-step explanation:
NEED HELP NOW 10 POINTS
Tommy made $8,387.02 last summer mowing yards. His supplies and equipment cost him $744.80. How much did Tommy make after figuring his cost?
SOLVE FOR X !!!!!!! WILL ALWAYS GIVE BRAINLIEST!!!!!!!
Answer:
59 degrees
Step-by-step explanation:
Inscibed angles in a circle encompass TWICE their value of arc degrees
2x = 118
x = 59 degrees
Use the graph to complete the statements.
The period is ✔ 2pi/3
The amplitude of the corresponding cosine function is 2..
The vertical shift of the graph of the parent secant function is 1 unit down.
The graph is of the function ✔ 2sec(3x) – 1
THESE ARE THE ANSWERS
The exercise has to do with the Graphing of a Cosecant Function. From the graph, the completed statements have been indicated below.
What are the completed statements?The completed statements are:
The period is 2pi/3The amplitude of the corresponding cosine function is 2.The vertical shift of the graph of the parent secant function is 1 unit down.It is to be noted that the graph is of the function 2Sec (3x) – 1.
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Answer:
2pi/3
corresponding cosine function is 2.
1 unit down.
graph 2sec(3x) – 1
Step-by-step explanation:
25 POINTS
Which equation does the graph of the systems of equations solve? two linear functions intersecting at 3, 2 −one thirdx + 1 = 2x − 4 one thirdx + 1 = −2x − 4 one thirdx + 1 = 2x − 4 −one thirdx − 1 = −2x − 4
^-^
the answer is [tex]\frac{1}{3} x + 1 = 2x - 4[/tex]
The equation that the given graph of the system of equations solves is: 1/3x + 1 = 2x - 4.
What is the Equation of a Line?Where m is the slope and b is the y-intercept, the equation of a line in slope-intercept form is expressed as y = mx + b.
Equation of the Blue Line:
Slope (m) = change in y / change in x = 2/1 = 2
y-intercept (b) = -4.
Equation: y = 2x - 4
Equation of the Red Line:
Slope (m) = change in y / change in x = 1/3
y-intercept (b) = 1
Equation: y = 1/3x + 1
The equation that the graph of the systems of equations solve would be: 1/3x + 1 = 2x - 4.
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Apple estimates that 2.8 million square feet of the building is used for office space. Is their estimate reasonable? Below is the floor plan (each floor has a similar floor plan). Only the blue area is office space. Justify your response.
The estimate that 2.8 million square feet of the building is used for office space is not reasonable
How to determine the true statement?From the plan, the width of the building is:
Width = 230 feet
The building has a circular area, and it has four floors
So, the estimate of the building area is:
Area= 4πR²
So, we have:
Area= 4 * 3.14 * 230²
Evaluate
Area= 664424
The above value cannot be approximated to 2.8 million
Hence, the estimate used for office space is not reasonable
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an outfielder throws a ball to home plate. the balls path is modeled by the graph of y=x/5-x^2/1000 where x represents the horizontal distance of the ball from the outfield and y represents the balls vertical distance above the ground. what are the coordinates of vertex of the ball's path?
Answer:
(100,10)
Step-by-step explanation:
At a football stadium, 10% of the fans in attendance were teenagers. If there were 150 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
1500 people.
Step-by-step explanation:
100% of the fans are not known,
So let the total number of fans or 100% of the fans be X
SINCE 10% ••••••••••• 150
100% ••••••••••••X
we're going to Cross multiply
= 10×X = 100 × 150
10X = 15000
dividing bothsides by 10
10X/10 = 15000/10
X = 1500 people.
hope this helps....please let me know is was really helpful by rating and marking it as brainliest!!!what is the volume of the prism below? 12 in 16 in 9 in
Answer:
1728 units cubed
Step-by-step explanation:
V = LWH
V = 12x16x9
V = 1728
A group of 300 middle school students were asked whether they prefer playing video games or watching TV in their spare
time. The genders of the students and their responses are reported in the following table.
Playing video
Watching TV
games
Girls
45
108
Boys
84
63
(a) What percentage of the students prefer playing video games?
(b) What percentage of the students are boys?
X 5 ?
(a) [%
(b) 1%
Answer:
(a) 43%
(b) 49%
Step-by-step explanation:
Add a total column and a total row to the table:
[tex]\begin{tabular}{| c | c | c | c |}\cline{1-4} & Playing video games & Watching TV & Total\\\cline{1-4} Girls & 45 & 108 & 153\\\cline{1-4} Boys & 84 & 63 & 147\\\cline{1-4} Total & 129 & 171 & 300\\\cline{1-4}\end{tabular}[/tex]
Part (a)Percentage of students who prefer video games:
[tex]=\dfrac{\textsf{total no. of students who play video games}}{\textsf{total no. of students}} \times \sf 100\%[/tex]
[tex]=\sf \dfrac{129}{300} \times 100 \%[/tex]
[tex]= \sf 43 \%[/tex]
Part (b)Percentage of students who are boys:
[tex]=\dfrac{\textsf{total no. of students who are boys}}{\textsf{total no. of students}} \times \sf 100\%[/tex]
[tex]=\sf \dfrac{147}{300} \times 100 \%[/tex]
[tex]= \sf 49 \%[/tex]
Answer:
total num playing video games/total no of studen×100
a) 43%
b) 49%
Please help I'm stuck on this question! worth 15+ points!!
Answer:
152
Step-by-step explanation:
360-(118+54)
Answer:
90°
Step-by-step explanation:
Taking ΔVWX :
∠V = ∠X (equal angles opposing equal side lengths)Using the Angle Sum Property,∠V + ∠W + ∠X = 180°b + 2∠V = 180°b + 2(45) = 180°b + 90° = 180°b = 90°how do i solve x+20+10x=20+9x
Answer:
0
Step-by-step explanation:
10x-9x=20-20
x=0
Please Help!!
What should be done 10x ^ 2 - 8x to create a perfect square ?
Answer: 10x^2-8x+16
Step-by-step explanation:
Use the formula (b/2)^2
then plug in values:
(-8/2)^2 = -4^2 = 16
ans: 10x^2-8x+16
hope this helps
What is the value of the expression below when x = 4?
4x2 + 7x – 10
Answer:
26
Step-by-step explanation:
1.) Step plug it in ---} 4*2 + 7 (4) - 10
2.) Step multiply what u have so
4 x 2= 8
7 x 4 = 28
3. )Put it back ---} 8+ 28 - 10
4.) Solve from there.
8+28=36
36 - 10 =26
Answer: 57
Step-by-step explanation: First have to put x=4 and do multiplication in brackets then do subtraction and add at the end to get final answern action pien r
Can you help me?
Find the h
Find h
Answer:
h=6
Step-by-step explanation:
according to Pythagorean theorem
h²=p²+b²
p²= 10²-8²
h²=100-64 by question (p=h)
h√36
h=6
-1/8d - 3 = -3/8
please help
Answer:
d=-21
Step-by-step explanation:
Explain how you solve each problem. Show all your work. Marissa is 3 years older than her younger brother. Her older brother is twice as old as her younger brother. Her older brother is 18. How old are Marissa and her younger brother?
The age of Marissa and her younger brother.
Solution:Younger brother:We know that the older brother's age is 18 and he is twice older than the younger brother.
Let the unknown be "x"
[tex] x=\frac{18}{2} [/tex]
[tex]\large\boxed{\sf{x=9 \: years}}[/tex]
Marissa:Now, we know that the younger brother's age is 9 and Marissa is 3 years older than him.
Let the unknown be "x"
[tex]x=9 + 3[/tex]
[tex]\large\boxed{\sf{x=12 \: years}}[/tex]
Therefore, Marissa is 12 and her younger brother is 9
Answer:
Marissa's age = 12
Younger brother's age = 9
Step-by-step explanation:
Let age of Marissa be x, and her younger brother's y.
Equations formed :
x = y + 32y = 18Finding age of younger brother using Equation 2 :
⇒ 2y = 18
⇒ 2y/2 = 18/2
⇒ y = 9 years old
Substituting y in Equation 1 :
⇒ x = y + 3
⇒ x = 9 + 3
⇒ x = 12 years old
Marissa's age = 12
Younger brother's age = 9
PLSS I NEED HELP IMMEDIATELY!!!
The slope as evaluated from the given pair of points is; Slope, m = 5.
Slope of given Points
The slope of a line defined by two points simply refers to the rate of change of the function given by the line.
Hence, slope, m = (28 -18)/(4 -2)
Slope, m = 10/2
Slope, m = 5
Credit To: adioabiola https://brainly.com/question/19592921
#1
(0,-1)(1,1)Slope
m=1+1/1-0=2C#2
(0,7)(1,4)Slope
m=4-7/1-0=-3A#3
(2,18)(4,28)Slope
m=28-18/4-2m=10/2m=5H#4
(4,0)(0,-4)Slope
m=-4/0-4=-4/-4=1FCODE IS
CAHFType the correct answer in the box. Use numerals instead of words. 5 The surface area of a cone is 2167 square units. The height of the cone is 3 times greater than the radius. What is the length of the radius of the cone to the nearest foot? The radius is about ___ feet.
The surface area of the cone is the amount of space on it, the radius of the cone is about 13 feet
How to determine the radius?The given parameters are:
Surface Area, A = 2167Height (h) = 3 * radius (r)The surface area is calculated using:
[tex]A =\pi r(r + \sqrt{h^2 + r^2})[/tex]
So, we have:
[tex]A =\pi r(r + \sqrt{(3r)^2 + r^2})[/tex]
Substitute 2167 for A
[tex]2167 =\pi r(r + \sqrt{(3r)^2 + r^2})[/tex]
Evaluate the sum
[tex]2167 =\pi r(r + \sqrt{10r^2})[/tex]
Divide both sides by [tex]\pi[/tex]
[tex]689.78 =r(r + \sqrt{10r^2})[/tex]
Evaluate the exponent
[tex]689.78 =r(r + 3.16r)[/tex]
Evaluate the sum
689.78 =r(4.16r)
Open the bracket
689.78 = 4.16r²
Divide both sides by 4.15
r² =165.8125
Take the square root of both sides
r = 13 (approximated)
Hence, the radius of the cone is about 13 feet
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I need help on this!
Given the following right triangle △ ABC with m∠A = Θ°, find sin(Θ°) and cos(Θ°).
Answer:
[tex]\sf Sin \ \theta = \dfrac{5}{13}\\\\Cos \ \theta =\dfrac{12}{13}[/tex]
Step-by-step explanation:
[tex]\sf Sin \ \theta= \dfrac{opposite \ of \ angle \ A}{hypotenuse}\\\\[/tex][tex]\sf =\dfrac{BC}{AB}\\\\ =\dfrac{5}{13}[/tex]
[tex]\sf Cos \ \theta = \dfrac{adjacent \ side \ of \ angle \ A}{hypotenuse}\\[/tex]
[tex]\sf =\dfrac{AC}{AB}\\\\= \dfrac{12}{13}[/tex]
Can someone help me answer this?
Answer:
m<S = 68 degrees.
m<D = 112 degrees
Step-by-step explanation:
Opposite angles of a parallelogram are equal so:
4x - 4 = 3x + 14
4x - 3x = 14 + 4
x = 18.
So m < S = 4(18) - 4
= 72-4
= 68 degrees.
Angles on the same side of a parallelogram are supplementary, so
m < D = 180 - 68
= 112 degrees.
Helpppppo plssssssss
Answer:
b
Step-by-step explanation:
used graphing calculator
(2x+3,2+y)=(y+4,3x+2) find the value of x and
Answer:
x = -1
y = -3
Step-by-step explanation:
[tex]\begin{cases}2x+3=y+4\\ 2+y=3x+2\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}2x-y=1&\left( 1\right) \\ 3x-y=0&(2)\end{cases}[/tex]
(2) - (1) ⇒ (3x - y) - (2x - y) = 0 - 1 ⇒ x = -1
(1) ⇒ 2x - y = 1 ⇒ y = 2x - 1 = 2(-1) - 1 = -3
If the length of minute hand of a clock is 42m . How much distance minute hand will cover in 15 minutes ?
Answer: We minutes hand moves for 20minutes ,it makes 120° central angle
Length=x/360×2πr
=120/360×2×22/7×42
On simplyfing
Length=88cm
Step-by-step explanation:
√54 to the nearest tenth
Answer:
[tex]\sqrt{54}[/tex] = 7.3484 , to the nearest 10th , then is 7.35
Step-by-step explanation:
what is the distance of 3,0 and 3,-2
Answer:
[tex]distance = \sqrt{(3 - 3) {}^{2} } + ( - 2 - 0) {}^{2} \\ = \sqrt{0 + 4} \\ = \sqrt{4 } \\ = 2unit[/tex]
In the xy-plane, the line determined by the points (2,k) and (k,32) passes through the origin. Which of the following could be a value of k?
(A) 0
(B) 4
(C) 8
(D) 16
Answer:
C
Step-by-step explanation:
calculate the slope m of the 2 points from the origin and equate, since they lie on the same line
m = [tex]\frac{y_{2}-y_{1} }{x_{2-x_{1} } }[/tex]
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, k )
m = [tex]\frac{k-0}{2-0}[/tex] = [tex]\frac{k}{2}[/tex]
repeat with
(x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = k, 32 )
m = [tex]\frac{32-0}{k-0}[/tex] = [tex]\frac{32}{k}[/tex]
equating the 2 slopes
[tex]\frac{k}{2}[/tex] = [tex]\frac{32}{k}[/tex] ( cross- multiply )
k² = 64 ( take square root of both sides )
k = [tex]\sqrt{64}[/tex] = 8