Answer:
The mass of the metal is 12.6 kgStep-by-step explanation:
Let the mass of the metal be x
From the question
5/9 of the metal is 7kg
That's
[tex] \frac{5}{9} x = 7[/tex]
Multiply through by 9
We have
5x = 7 × 9
5x = 63
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{63}{5} [/tex]
We have the final answer as
x = 12.6 kg
The mass of the metal is 12.6 kgHope this helps you
hello :) why is the first one wrong?
Answer:
The cube only belongs to the x and not 2x.
The statement will only be true if there is a bracket around the 2x.
log₃(2x)³= 3log₃2x
logarithm power rule:
logₐ(x)^y = y ∙ logₐ(x)
Answer:
see explanation
Step-by-step explanation:
Given
[tex]log_{5}[/tex] 2x³
= [tex]log_{5}[/tex] 2 + [tex]log_{5}[/tex] x³
= [tex]log_{5}[/tex] 2 + 3[tex]log_{5}[/tex] x
Please help me solve this. With Reasoning
6 2/5 - 4 2/3
Answer:
1 and 11/15.
Step-by-step explanation:
To solve, we can separate the integers from the fractions.
(6 - 4) + (2/5 - 2/3)
= 2 + (6/15 - 10/15)
= 2 + (-4/15)
= 1 + 15/15 - 4/15
= 1 + 11/15
= 1 and 11/15
Hope this helps!
(07.06A) Which scenario best matches the linear relationship expressed in the equation y = 13.50x + 300? Bobby has $300 in the yearbook fund and spends $13.50 on each yearbook. Bobby has $13.50 in the yearbook fund and spends $300 on each yearbook. Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold. Bobby has $13.50 in the yearbook fund and earns $300 for each yearbook sold.
Answer:
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Step-by-step explanation:
The value of the expression when x is zero is 300. For each increment of 1 in x, the value of the expression increases by 13.50. This best matches the scenario ...
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
which has a steeper slope y=-2x or y=-3x
Answer:
y=-3x
Step-by-step explanation:
3>2. It doesn't matter if some or all of the numbers are negative.
Answer: y = -3x has the steeper slope
==========================================
Explanation:
Any linear equation is of the form y = mx+b, where m is the slope.
For y = -2x, the slope is -2. For y = -3x, the slope is -3.
We just look at the number to the left of x to find the slope.
To figure out which slope is steeper, we simply look to see which slope value is furthest from 0 on the number line. A slope of 0 itself is completely horizontal and flat. As the slope value moves away from zero, in either positive or negative direction, then the slope gets steeper and steeper.
In short, a slope of -3 is more steep compared to a slope of -2. Therefore, y = -3x is the answer.
The graph below helps visually confirm that y = -3x is indeed steeper. We drop one extra unit down each time we move to the right one space.
Gasoline is a non-polar liquid that will float on water. 400 grams of gasoline is spilled into a puddle of water. If the density of gasoline is 0.665 g/mL, what volume of gasoline is spilled?
Step-by-step explanation:
here's the answer to your question
Find the coordinates of the image of G(−3,9) after the translation (x,y)→(x+10,y−7) .
(13, 2)
(13, 16)
(7, 16)
(7, 2)
Answer:
D. (7,2)
Step-by-step explanation:
-3 +10 is 7
9-7 is 2.
kinda just put them together, you get (7, 2)
I hope this helps!
pls ❤ and mark brainliest pls!
The image of (-3, 9) is (7,2).
Mathematically speaking, a translation is defined by the following operation:
[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.If we know that [tex]P(x,y) = (-3, 9)[/tex] and [tex]T(x,y) = (10, -7)[/tex], then the resulting point is:
[tex]P'(x,y) = (-3, 9) + (10, -7)[/tex]
[tex]P'(x,y) = (7, 2)[/tex]
Hence, the image of (-3, 9) is (7,2).
We kindly invite you to check this question on translation: https://brainly.com/question/12463306
choose the function where the graph is given below
Answer:
B
Step-by-step explanation:
You could've graphed your choices and find which one is a perfect match.
Barry has been watching the geese that live in his neighborhood. The number of geese changes each week. n f(n) 1 56 2 28 3 14 4 7 Which function best shows the relationship between n and f(n)? f(n) = 28(0.5)n f(n) = 56(0.5)n−1 f(n) = 56(0.5)n f(n) = 112(0.5)n−1
Answer:
B. f(n) = 56(0.5)^n-1
Step-by-step explanation:
First, You have to find out the starting population, if you look at the problem you see the population starts at 56
f(x) = 56
Second, you know that the population goes down 50% each week so it has a decay of 0.5
f(x) = 56(0.5)
Third, you need to add the exponent of n to make it exponential. But, if you just add n then the the population would be 28 on week 1 which is incorrect. To fix that you make the exponent n-1 so when you are on week 1 it doesn't become 28 but it stays on 56, and on week 2 it's 28, ect
f(x) = 56(0.5)^n-1
Para la función f(x) = x + 6, ¿ cuál es
resultado de la función si x=2 ?
Answer:
f(x) = 8
Step-by-step explanation:
Como x = 2, simplemente lo sustituiría por x en la función y sumaría.
f(x) = 2+6
f(x) = 8
What happens when you subtract a greater positive
number from a lesser positive number?
Answer:
You get negatives
Step-by-step explanation:
Imagine that you have 67 and you need to subtract that by 107
you would do 67-107 or 107-67 then add a negative symbol.
67 - 107 = -40
w = zh - 6zk². Solve for z
(preferred with steps)
Answer:
w
z = ------------
h - 6k²
Step-by-step explanation:
w = zh - 6zk²
zh - 6zk² = w
w
z = ------------
h - 6k²
PLS HELP ME A THANK YOU AND A BRAINLIST WILL BE REWARDED!!!! :)
Answer:
[tex]\Large \boxed{{(10x+10)=110}}[/tex]
Step-by-step explanation:
Vertical opposite angles are equal.
[tex](10x+10)=110[/tex]
Answer:
The answer is C.
Step-by-step explanation:
Reason:
For the angles shown, angle (10z+10)° is the same with 110°
So the equation is (10z+10)° = 110°
That's the answer. (C).
3 angles
triangle
in
ratio 1:3:3
3:.
Find the angles
Answer:
1st angle = 30
2nd angle = 60
3rd angle = 90
Step-by-step explanation:
let ,1st angle be x , 2nd angle be 2x and 3rd angle be 3xx+2x +3x =1806X =180x =180/6x =30find the area of quadrilateral ABCD
Answer:
A ≈ 28.5
Step-by-step explanation:
a, b, c
P = a + b + c
Semiperimeter s = [tex]\frac{a+b+c}{2}[/tex]
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
~~~~~~~~~~~~~~~
[tex]P_{ABC}[/tex] = 4.3 + 2.89 + 6.81 = 14
s = 14 ÷ 2 = 7
[tex]A_{ABC}[/tex] = [tex]\sqrt{7(7-4.3)(7-2.89)(7-6.81)}[/tex] = √14.75901 ≈ 3.84
[tex]P_{BCD}[/tex] = 8.59 + 7.58 + 6.81 = 22.98
s = 22.98 ÷ 2 = 11.49
[tex]A_{BCD}[/tex] = [tex]\sqrt{11.49(11.49-8.59)(11.49-7.58)(11.49-6.81)}[/tex] = √609.7343148 ≈ 24.6928
[tex]A_{ABCD}[/tex] = 3.84 + 24.6928 ≈ 28.5
someone please expain how to do this, i’m really confused.
Answer:
13
Step-by-step explanation:
Basically, we have to plug in 4 for r into g(r). Doing so gives us g(4) = 25 - 3 * 4 = 25 - 12 = 13.
Some more examples:
g(6) = 25 - 3 * 6 = 25 - 18 = 7
g(1) = 25 - 3 * 1 = 25 - 3 = 22
Answer:g(4)=13
Step-by-step explanation:
g(4)=25-3r
25-3(4)
25-12
g(4)=13
FA is a line, line segment, and a ray
Answer:
False, FA can't be all three. (See explanation below to see which one FA is.)
Brainliest, please!
Step-by-step explanation:
A line has goes on and on forever in two different directions.
A line segment has two endpoints and does not go on and on forever.
A ray has one endpoint and goes on and on forever in one direction.
It is impossible for FA to be all three, or two even.
The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place. According to the fundamental theorem of algebra, which of the following statements is correct? A. The quadratic function has no real zeros and two complex zeros. B. The quadratic function has one distinct real zero and one distinct complex zero. C. The quadratic function has two distinct real zeros and one distinct complex zero. D. The quadratic function has two distinct real zeros.
Answer: D. The quadratic function has two distinct real zeros.
There are no complex roots as a quadratic's roots are maxed out at 2. The fundamental theorem of algebra says that if you have an nth degree polynomial, then the max number of real roots is n.
This quadratic's roots are distinct because the two x intercepts are in different places. Each x intercept is a root.
a garden is 18 feet 3 inches long and 10 feet 8 inches wide. the amount of fencing needed to enclose the garden is Need help and will mark brainlist
Answer:
[tex]\boxed{57ft 10in}[/tex]
Step-by-step explanation:
Hey there!
Well if the length is 18 and 3 inches we need to find the sum of both lengths,
18ft 3in + 18ft 3in = 36ft 6in
Width- 10ft 8in + 10ft 8in = 20ft 16 in -> 21ft 4in
l + w = 57ft 10in
Hope this helps :)
A teacher is experimenting with a new computer-based instruction and conducts a study to test its effectiveness. In which situation could the teacher use a hypothesis test for matched pairs?
The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement.
The teacher randomly divides the class into two groups. One of the groups receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a test and the teacher wants to compare the performance of the two groups.
The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the majority prefer the computer-based instruction.
Answer:
The teacher gives each student in the class a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a post-test. The teacher wants to see if the difference in scores will show an improvement.
Step-by-step explanation:
In hypothesis testing, there is a premise or a claim where an analyst want to test or to investigate in an experiment. In this study, different sampling methods are being carried out.
In hypothesis testing, we usually have the null hypothesis and the alternative hypothesis.
The null hypothesis is an established hypothesis which is usually denoted by [tex]H_o[/tex] and it is a currently accepted value or default for a parameter.
On the other hand the alternative hypothesis or the research hypothesis denoted by [tex]H_a[/tex] came into place to challenge the study to be tested.
In the given question , the teacher wants to see the difference in the outcome of the test scores if there will be an improvement. The same is true for hypothesis testing, we tends to see the difference in the test statistics result maybe it is significant or not in order to determine the conclusion on the null hypothesis.
Jose collects baseball cards. Over the last year, the change in the value of his favorite card is $-7. Which best describes the meaning of interger?
Answer with explanation:
An integer is a whole number that can be positive, negative, or zero. For example ...-3,-2,-1,0,1,2,3....Here, positive value indicates gain or above something where as negative value indicates loss or below something.If the change in the value of his favorite card is $-7, that simply indicates that he is having a loss of $-7 that can be understand as the value of his this years card must be smaller than the last year card.
Hence, the best describes the meaning of integer:
"he is having a loss of $-7"
Find the inverse of the given function. f(x) = 7x – 4
Hi there!
[tex]\large\boxed{y = \frac{x + 4}{7}}[/tex]
f(x) = 7x - 4
Rewrite f(x) with y:
y = 7x - 4
Swap the x and y variables:
x = 7y - 4
Solve for y:
x + 4 = 7y
y = (x + 4)/7
The sum of the cubes of 3 numbers which are in the ratio 1:2:3 is 7776. Find the numbers
the numbers - [tex]x,2x,3x[/tex]
[tex]x^3+(2x)^3+(3x)^3=7776\\x^3+8x^3+27x^3=7776\\36x^3=7776\\x^3=216\\x=6\\2x=12\\3x=18[/tex]
6,12,18
find the HCF and LCM of 4x^2 - 36 ,2x^2 - 12x + 18 and 2x^2 + x - 21
Answer:
(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)
Step-by-step explanation:
Factor all the expressions,
1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)
2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)
3rd expression=2x^2 + x - 21=(x - 3) (2 x + 7)
HCF=Commo factor=(x-3)
LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)
NEED IN 10 MIN. WILL GIVE BRAINLEST Solve the triangle. B = 36°, a = 41, c = 17
Answer:
Yes this is a Triangle
36 degrees of any side then 41 would connct to 36 and 17 would connects to 36 and 41! If this is Khan Academy your asking out of its a Yes, it is a Triangle
HOPE IM THE BRANLIESS UwUAnswer:
It is a triangle:
Step-by-step explanation:
b² = a² + c² - 2(a)(c)cos(B)
b² = 41² + 20² - 2(41)(20)cos(36)
b² = 754.2121292
b = 27.46292281
b = 27.463
A = 41, B = 27.4, C = 17
if the side length of a square can be represented by 4x + 4 and its area is 1024 square units, find the value of x
Answer:
x = 7
Step-by-step explanation:
Since it’s the area of a square, we can simply do square root of 1024. (Because to get area of square you do side x side). Which is 32.
So basically 4x + 4 = 32... x = 7
Answer:
x = 7
Step-by-step explanation:
A = 1024
side length of a square = 4x + 4
A = s²
s = √A
s = √1024
s = 32
using the side length to get the value of x
s = 32
4x + 4 = 32
4x = 32 - 4
x = 28 / 4
x = 7
check:
A = side length * side length
A = (4x + 4) * (4x + 4)
A = (4*7 + 4) * (4*7 + 4)
A = 32 * 32
A = 1024 ok
how many are 8 raised to 2 ???
Answer:
The correct answer would be 64 because 8 times 8 would be 64 therefore the answer is 64
Step-by-step explanation:
Match the vocabulary word to its correct definition.
1. complex conjugate the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part
2. complex number the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number
3. i the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number
4. imaginary number a number defined with the property that 12 = -1, so that
5. imaginary part of a complex number the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1
6. multiplicative inverse any nonzero multiple of i; this is the same as the square root of any negative real number
7. real part of a complex number the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs
Answer:
1. Complex number.
2. Imaginary part of a complex number.
3. Real part of a complex number.
4. i
5. Multiplicative inverse.
6. Imaginary number.
7. Complex conjugate.
Step-by-step explanation:
1. Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. i: a number defined with the property that 12 = -1.
5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
Answer:
Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. i: a number defined with the property that 12 = -1.
5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
Step-by-step explanation:
What two numbers are between 3.15?
The options are:
a. 3.0 and 3.1
b. 3.1 and 3.2
c. 3.2 and 3.3
Be quick please, due in 10 minutes!
Answer:
b 3.1 and 3.2
Step-by-step explanation:
3.15 is the average number of 3.1 and 3.2, because
(3.1+3.2)/2=3.15
Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar
Answer:
321/8 ft^2
Step-by-step explanation:
The whole area is 49/4 × 5 = 245/4 ft^2
The area of tiled floor is 13/2 × 13/4 = 169/8
245/4 - 169/8 we need to equalise the bottom of fraction to subtract so
2/2 × 245/4 = 490/8
490/8 - 169/8 = 321/8 ft^2
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. Find BC if AB=2x-12, AC=14, and BC=x+2
Answer: BC = 10
======================================================
Work Shown:
The term "collinear" means all points fall on the same straight line.
Point B is on segment AC.
Through the segment addition postulate, we can say
AB+BC = AC
This is the idea where we glue together smaller segments to form a larger segment, and we keep everything to be a straight line.
Apply substitution and solve for x
AB+BC = AC
2x-12+x+2 = 14
3x-10 = 14
3x = 14+10
3x = 24
x = 24/3
x = 8
Then we can find the length of BC
BC = x+2
BC = 8+2
BC = 10
--------
Note that AB = 2x-12 = 2*8-12 = 16-12 = 4
and how AB+BC = 4+10 = 14 which matches with AC = 14
Therefore we have shown AB+BC = AC is true to confirm the answer.
Collinear points are points on the same line.
The value of BC is 10
Since points A, B and C are on the same line, where B is between points A and C.
So, we have:
[tex]AC = AB + BC[/tex]
Substitute values for AC, AB and BC
[tex]14 = 2x - 12 + x + 2[/tex]
Collect like terms
[tex]2x +x =14 + 12 - 2[/tex]
[tex]3x =24[/tex]
Divide both sides of the equation by 3
[tex]x =8[/tex]
Substitute 8 for x in BC = x + 2
[tex]BC =8 + 2[/tex]
[tex]BC =10[/tex]
Hence, the value of BC is 10
Read more collinear points at:
https://brainly.com/question/15806521