Answer:
Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11.
Step-by-step explanation:
Got 100% on the test.
How many metal doorstops 15 cm by 10 cm by 5 cm can be cast from a spherical ball of metal of diameter 400 mm?
Answer:
[tex]\approx \bold{44\ or\ 45}[/tex]
Step-by-step explanation:
Given
Diameter of spherical metal ball = 400 mm = 40 cm
Radius of spherical metal ball = 20 cm
Volume of a sphere is given as:
[tex]V_{Sphere} = \dfrac{4}{3}\pi r^3[/tex]
[tex]\Rightarrow \dfrac{4}3 \times 3.14 \times 20 ^3 = 33493.33 \ cm^3[/tex]
Dimensions of metal doorstops = 15 cm by 10 cm by 5 cm
It is of cuboid shape.
Volume of a cuboid is given as:
[tex]V_{Cuboid} = l \times b\times h = 15 \times 10 \times 5 = 750\ cm^3[/tex]
Number of such doorsteps that can be made from the metal ball is equal to Volume of metal ball divided by volume of metal doorstep.
[tex]\dfrac{33493.33}{750} \approx \bold{44\ or\ 45}[/tex]
HELP PLEASE The value of a stock can be modeled by this equation. V = 23n + 42; where V is the value, in dollars, and n represents the number of months since purchase. Which statements correctly interpret the slope of the line? A. The slope of the line is 42. This means that the value of the stock increases $42 for each additional month since purchase. B. The slope of the line is 42. This means that the initial value of the stock was $42. C. The slope of the line is 23. This means that the initial value of the stock was $23. D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.
Answer:
D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.
Step-by-step explanation:
In the basic equation y = mx + b, m is the slope. In this situation, 23 is the slope because it is the coefficient.
42 is not the slope because it is the y-intercept.
D is the correct answer because the slope is 23, which means in this situation that the stock's value increases by $23 for each additional month after the purchase.
Answer:
D.
Step-by-step explanation:
The slope is the coefficient of n ( the month) which is 23.
This means the stock increases each month by a factor of 23.
Omar uses the factor theorem to determine whether x−3 is a factor of 4x4−12x2−18x−162. How does he proceed to the correct answer? A-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 108 and concludes that x−3 is a factor. B-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 108 and concludes that x−3 is not a factor. C-Omar evaluates 4x4−12x2−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. D-Omar evaluates 4x4−12x2−18x−162 when x=−3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.
Answer:
C- Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor.
Step-by-step explanation:
Factor Theorem can be defined as a method or theorem that is used in mathematics to simplify polynomials. It is used to confirm if a particular root is the real root of the polynomial.
Factor Theorem states that:
a) If p(x) is a polynomial of degree of n is greater than 1 (n > 1) and a is any real number, then
b) x – a is a factor of p(x)
if p(a) = 0, x – a is a factor of p(x).
In the question above, we are told that:
Omar uses the factor theorem to determine whether x−3 is a factor of 4x⁴ −12x² − 18x − 162.
Using Factor Theorem,
b) x – a is a factor of p(x)
if p(a) = 0, x – a is a factor of p(x).
x - 3 = 0, x = 3
p(x) = 4x⁴ −12x² − 18x − 162 = 0
p(3) = 4(3)⁴ - 12(3)² - 18(3) - 162 = 0
p(3) = 4(81) - 12(9) - 18(3) - 162 = 0
p(3) = 324 - 108 - 54 - 162 = 0
p(3) = 324 - 324 = 0
p(3) = 0 = 0
Hence, since p(3) = 0, x - 3 is a factor of polynomial 4x⁴ −12x² − 18x − 162 .
Therefore,Option C- "Omar evaluates 4x⁴−12x²−18x−162 when x = 3. He determines that the value of the expression is 0 and concludes that x−3 is a factor. " is the correct answer.
Answer:
Answer is D on edge2020
Step-by-step explanation:
Omar should factor out a negative from one of the groups so the binomials will be the same.
Which best describes how to determine the decimal number that is modeled? 7 of 100 parts have been shaded, and 7 hundredths is written as 0.07 7 of 10 parts have been shaded, and 7 tenths is written as 0.7 7 of 100 parts have been shaded, and 7 hundredths is written as 0.7 7 of 10 parts have been shaded, and 7 tenths is written as 0.07
Answer:
7 of 100 parts have been shaded, and 7 hundredths is written as 0.07
Step-by-step explanation:
Note that we have a grid of 100 squares and 7 of those squares are shaded. We can represent the shaded portion by saying 7/100 which is equivalent to .07.
With this information, we can say 7 out of 100 is shaded and is representative of 7 hundredths.
Note that each digit after the decimal is a multiple of (1/10). We can express this as (1/10)^n where n is the digit place after the decimal.
In this case, we have 7, two digits after the decimal so it will be equivalent to 7 * (1/10)^2 = 7 * (1/100) = 7/100.
Cheers.
does anyone know this?
Answer:
f(-9) = 279
Step-by-step explanation:
f(x) = 4x^2 + 7x + 18
f(-9) = 4(-9)^2 +7(-9) + 18
= 4(81) - 63 + 18
= 324 - 63 + 18
= 279
What is the value of x? 4/5 times 1/10 =3/10
Answer:
D) 1/2
Step-by-step explanation:
4/5x-1/10=3/10
4/5x=3/10+1/10
4/5x=4/10
4/5x=2/5
x=2/5÷4/5
x=2/5*5/4
x=10/20
x=1/2
Solve the following equation for the variable. 2m – 3 =23
m =
What was the FIRST step?
Answer:add 3
Step-by-step explanation:
Julie has 12 gummy worms on her plate. She also has some gummy worms in a bag. All together, she has 36 gummy worms. The letter g stands for the number of gummy worms in the bag. Which equation can you use to find g?
Answer:
12 + g = 36
Step-by-step explanation:
If you work out the Two-Step Equation, you will get the amount for g.
hydrogen and oxygen come pouring out it drips and it dribbles and it comes from a spout
Answer:
[tex]\Large \boxed{\mathrm{Water}}[/tex]
Step-by-step explanation:
Hydrogen and oxygen are elements that form the compound known as water.
Water comes pouring out, it drips, it dribbles, and it comes from a spout.
Answer:
Water
Step-by-step explanation:
Most of the water in our world is a combination of "ordinary" hydrogen atoms with "ordinary" oxygen atoms, but there are actually three different istopes (atomic varieties) of hydrogen and each of those can combine with oxygen to give a different kind of water.
If deuterium (hydrogen whose atoms contain one neutron and one proton instead of just one proton by itself) combines with oxygen, we get something called heavy water, which is about 10% heavier than normal water.
Similarly, tritium (hydrogen with two neutrons and one proton) can combine with oxygen to make something called super heavy water.
Water comes pouring out it drips and it dribbles and it comes from a spout.
I need more help because I still do NOT understand this
Answer:
f-9=12 Answer=20
24=g+14 Answer=10
Step-by-step explanation:
take the numbers you already have, let's start with the first equation:
f-9=12
find out what they are when you put them together
12+9=f
f=20
Second equation:
24=g+14
do the same, except subtract this time
24-14=g
g=10
Hope this helps (:
*ANSWER PLEASE, DIFFICULT QUESTION* A toy rocket is a composite of a cylindrical body with a cone for a nose. Find the volume of the rocket if the radius of the base is 1.25 inches, the height of the tip is 3 inches, and the height of the entire rocket is 15 inches. a.) 63.8 in3 b.) 56.3 in3 c.) 176.6 in3 d.) 58.9 in3
Answer:
a) 63.8 in³
Step-by-step explanation:
so the cylinder is 12 inches high
πr²h = π(1.25)²(12) = 58.90 in³
cone is 3 inches high
1/3πr²h = = 1/3π(1.25)²(3) = 4.91 in³
58.90 + 4.91 = 63.81 in³
Answer:
63.8 in
Step-by-step explanation:
the formula of te volume of the cone is : πr²h/3
the height of te cone is the height of the tip
V=π(1.25)² * 3/3
V1=4.91( rounded to the nearest hundredth)
volume of the cylinder =πr²h ( the height of cylinder=25-3=23)
V2=π(1.25)²*12
V2=58.90
V1+V2=4.91 +58.90=63.81 ≅63.8
Is 7/8 greater than one
Answer:
No, because 7/8=0.875, which is not greater than 1.
1. The cards bearing letters of word “MATHEMATICS” are placed in a bag. Find the probability of getting: (a) any vowel. (b) any consonant. (c) the letter ‘m’. 2. 8 added to twice a number gives 40. Find the number
Answer:
1) 30%, 50%, 10%
2) x = 24
Step-by-step explanation:
Hey there!
1) "MATHMATICS"
a) Vowels - a, e, i, o, u
This is 3/10 of the letters meaning pulling a vowel is 30%.
b) Constants - B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, X, Z
Well there are 5 constants in mathematics so the percent is 50%.
c) Letter "m"
The letter m is 1/10 meaning pulling the letter m is a 10%.
2) 8 added to twice a number gives 40. Find the number
Well lets set u an equation,
8 + x + 8 = 40
16 + x = 40
-16
x = 24
Hope this helps :)
Answer:
In bold.
Step-by-step explanation:
1.
There are a total of 11 letters in the bag including 4 vowels, 7 consonants.
The letter m appears twice in mathematics.
(a) Probability(getting a vowel) = 4/11.
(b) Probability(getting a consonant) = 7/11.
(c) Probability(getting a letter m) = 2/11.
2.
Let the number be n, then:
8 + 2n = 40
2n = 32
n = 16.
Sales Rise from 2000 per week to 2500 per week, calculate the percentage change..
Answer:
[tex]\huge\boxed{25\%}[/tex]
Step-by-step explanation:
Previous Price = 2000
Current = 2500
Increase:
=> 2500 - 2000
=> 500
%age change:
=> [tex]\frac{500}{2000} * 100 \%[/tex]
=> ( 5 * 5 ) %
=> 25%
Answer:
Percentage change = 25%Step-by-step explanation:
To find the percentage change we use the formula
[tex]Percentage \: \: change \: \: = \frac{change}{original \: \: quantity} \times 100[/tex]To find the change subtract the lesser one from the larger one
Original price = 2000
Final price = 2500
Change = 2500 - 2000 = 500
So the percentage change is
[tex] \frac{500}{2000} \times 100[/tex][tex] = \frac{1}{4} \times 100[/tex]We have the final answer
Percentage change = 25%Hope this helps you
Can someone help me please
for each diagram, determine whether angles 1 & 2 form a linear pair, heeelp please :(
Answer:
only (12) has a linear pair
Step-by-step explanation:
Recall that for two angles to be called a "Linear Pair", they need to satisfy several conditions:
1) The two lines must intersect at a shared point (i.e common vertex)
2) The two angles must be adjacent (i.e immediately next to one another)
3) The two angles must add up to 180 degrees.
In our case,
in (9), the angles are not adjacent and they do not add up to 180 deg, so this is NOT a linear pair
in (10), the angles are not adjacent and they do not add up to 180 deg, so this is NOT a linear pair
in (11), the lines do not intersect at a shared point(they do not have a common vertex). Plus we cannot be 100% sure that they add up to 180 deg. Hence this is not a linear pari
in (12), we can see that the angles satisfy all 3 conditions above. This is a linear pair.
HELPPL Enter the solution from least to greatest (x-2)(3x+3)=0
Answer:
x = -1, 2
Step-by-step explanation:
Step 1: Write out equation
(x - 2)(3x + 3) = 0
Step 2: Solve each individual root
x - 2 = 0
x = 2
3x + 3 = 0
3x = -3
x = -1
Step 3: Arrange from least to greatest
-1 < 2
So x = -1, 2
Answer:
x = -1 x = 2
Step-by-step explanation:
(x-2)(3x+3)=0
Using the zero product property
x-2 =0 3x+3 =0
x=2 3x = -3
x = -3/3
x = -1
Please hurry 12 people fit comfortably in a 5 by 5 feet area. Use this value to estimate the size of a crowd that is 10 feet deep on ONE side of the street along a 1 mile section of a parade route. 25344 people 25344 people 52800 people 52800 people 110000 people 110000 people 20 people 20 people
hope this helps! Its the answer key to something almost exact
The size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
12 people fit comfortably in a 5 by 5 feet area.
Let x be the size of a crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route.
The fractions:
12/25 = x/(5280×10)
After cross multiplication:
25x = 633600
x = 633600/25
x = 25344
Thus, the size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
-5-(-11)-(-11).
what’s the answer
Answer: [tex]17[/tex]
Subtract
[tex]-5-(-11)=6[/tex]
Subtract
[tex]6-(-11)=17[/tex]
Answer:
[tex]\Large \boxed{17}[/tex]
Step-by-step explanation:
-5-(-11)-(-11)
=17
This is one way to do this;
1. => (-5−-11)−(0−11)
=> 6−(0−11)
=>6−-11
=17
Another way to do this;
First remove the parentheses.
-5+11+11
And than simplify.
6+11
=17
Answer;17
Twice a number subtracted from four times that same number added to fifteen
What is negative 1/2 divided by 4/5
Answer:
-0.625
Step-by-step explanation:
- 0.5 / .8 = -0.625
-0.625 x .8 = - 0.5
Answer:
- 5/8
Step-by-step explanation:
What is negative 1/2 divided by 4/5
-1/2 ÷ 4/5 =-1/2 × 5/4 =- 1×5/2×4 =-5/8please help me on this
Answer: True
Step-by-step explanation: The altitude of an isosceles triangle can be drawn from the vertex angle and be proven to be a median
Find the number by which 4732 should be divided to get perfect square.
Answer:
7
Step-by-step explanation:
Prime factors of 4732:
4732 = 2² × 7 × 13²As we see if we remove 7 from the factors list, we get the perfect square of 2²×13²= 26²
So the number by which 4732 should be divided is 7
4732/7 = 676 = 26²Use the flowchart to determine whether the opposites of the numbers
in questions 1 through 4 are positive or negative. Then give the
opposite of each number.
1. -2.7
2. 2/7
3. 3 1/8
4. – 0.9
Find the Area of a square with length(x + 7) and width (x + 7)
Answer:
x^2 +14x+49
Step-by-step explanation:
Area = length * width
= ( x+7) * ( x+7)
FOIL
first: x^2
outer: 7x
inner: 7x
last: 7*7 = 49
Add them together
x^2 +7x+7x + 49
Combine like terms
x^2 +14x+49
What is the solution set of the following equation? 4\5^2= 2x- 4\5
Answer:
x = 18/25
Step-by-step explanation:
(4/5)² = 2x - 4/5
16/25 = 2x - 4/5
16/25 = 2x - 20/25
36/25 = 2x
x = 18/25
Answer:
x= 18/25
Step-by-step explanation:
PLEASE help me solve this problem
Answer:
x = 7.5
Step-by-step explanation:
We see that in order to find x, we need to use tangent, which is opposite over adjacent.
Step 1: Set up equation
tan37° = x/10
Step 2: Multiply 10 on both sides
10tan37° = x
Step 3: Evaluate
x = 7.53554
Step 4: Round
x = 7.5
Answer:
137
Step-by-step explanation:
the way to get it is that part that looks like a square inside the triangle is 90 so when you finish getting all the sides the answer will give you 137
There are 15 gummy bears. If they are evenly divided between 7 people, how many gummy bears does each person get? Choose the correct answer from the choices below.
Answer:
2.14285714286 or 2 1/7 gummy bears
Step-by-step explanation:
15/7=2.14285714286 or 2 1/7
Answer:
Hello! Answer below, with an picture too :)
Step-by-step explanation:
:::::: [tex]2[/tex] [tex]1/7[/tex]
The answer is 2 1/7 or 2 R 1
Steps:
So we do 15 divided by 7.
[tex]\sqrt[7]{15}[/tex]
***********************************
0 2
....................
7 ⟌ 1 5
- 0
.............
1 5
- 1 4
.............
1
Steps below in the picture, too!
By:✨RobloxYt✨
(Picture attached)
A student used the graph below to identify the minimum/maximum. The student said the graph had a maximum of 1. Explain the students mistake and how the student can tell the difference between a maximum and minimum. (Write your answer in at least 2 complete sentences).
Answer: Answer is in the step.
Step-by-step explanation:
The student made a mistake by identifying the maximum point by the x coordinate value of the vertex. Minimum or maximum points are determine using the y coordinate value.The student can determine the difference between a maximum and minimum by identifying the y coordinate of the vertex.
The length of a rectangle is 6 meters less than twice its width. If the area of the rectangle is 308 m2, what are its dimensions?
Answer:
length = 22cmwidth = 14cmStep-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
From the question
Area = 308 m²
The length of a rectangle is 6 meters less than twice its width is written as
l = 2w - 6
Substitute this into the above formula and solve for the width
We have
308 = (2w - 6)w
2w² - 6w = 308
2w² - 6w - 308 = 0
Divide both sides by 2
We have
w² - 3w - 154 = 0
( w + 11)( w - 14) = 0
w + 11 = 0 w - 14 = 0
w = - 11 w = 14
Since the width cannot be negative
w = 14
Substitute w = 14 into l = 2w - 6
That's
l = 14(2) - 6
l = 28 - 6
l = 22
Therefore
length = 22cm
width = 14cm
Hope this helps you