Answer: F = - 2/7
Step-by-step explanation:
[tex]f(x) = x + 9\\f(-7) = -7 + 9\\f(-7) = 2\\f = -\frac{2}{7}[/tex]
A rectangular prism has a length of 7 m, a height of 5 m, and a volume of 140 m3. What is the width?
Which steps are correct? Check all that apply.
Substitute the known values into the formula:
140 = 7(w)(5).
Substitute the known values into the formula:
7 = 140(w)(5).
Substitute the known values into the formula:
5 = 7(w)(140).
Solve for the unknown: w = 4 m.
Solve for the unknown: w = 7 m.
Solve for the unknown: w = 2 m.
The question is incomplete because it was not properly and correctly arranged
Complete Question:
A rectangular prism has a length of 7 m, a height of 5 m, and a volume of 140 m³. What is the width? A prism has a length of 7 meters, width of w, and height of 5 meters.
Which steps are correct? Check all that apply.
a) Substitute the known values into the formula: 140 = 7(w)(5).
b) Substitute the known values into the formula: 7 = 140(w)(5).
c) Substitute the known values into the formula: 5 = 7(w)(140).
d) Solve for the unknown: w = 4 m.
e) Solve for the unknown: w = 7 m.
f) Solve for the unknown: w = 2 m.
Answer:
a) Substitute the known values into the formula: 140 = 7(w)(5).
d) Solve for the unknown: w = 4 m.
Step-by-step explanation:
The steps that are correct are Options a) and d). This is because:
Step 1
The volume of a rectangular prism is calculated as:
Volume of a rectangular prism = Length (l) × Width(w) × Height(h)
The unit of the volume or a rectangular prism is in cubic metres (m³)
In the question, we are asked to find the unknown value which is the width and we were given the following known values:
Length = 7 m,
Height = 5 m
Volume = 140 m³
Step 2
Solve for the unknown value( Width)
Volume of a rectangular prism = Length (L) × Width(W) × Height(H)
140m³ = 7m × Width(m) × 5m
140m³ = 35m² × Width(m)
Width(w) = 140m³ ÷ 35m²
Width(w) = 4m
Hence, the unknown Width(w) = 4m
From the above explanation we can see that the correct steps is Option a) and Option d)
Answer:
Step-by-step explanation:
Volume of rectangular prism= Length x width x height
V=L x W x H
140=7 x W x 5
140= 35 x w
W= 140/35
W= 4
Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.
2 identical solid right pyramids with square bases are connected at the square base. Another 2 are connected in the same way and are stacked on top of the other 2 pyramids. The length of the base edge is 2 feet and the height of the whole structure is 6 feet.
He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.
Volume is a three-dimensional scalar quantity. The amount of sculpting material needed is 8 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Since the pyramid is stacked one over the other, the total height of the sculpture is the sum of the four pyramid heights, therefore, the height of each pyramid is 1.5 ft.
The volume of the complete sculpture = 4(Volume of a single pyramid)
= 4[(1/3) × (2 ft)² × 1.5 ft]
= 4(2 ft³)
= 8 ft³
Hence, the amount of sculpting material needed is 8 ft³.
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Answer:
8ft.^3
Step-by-step explanation:
I just took the test on edge :)
The bearing
of P from Q is 0.60°. What is the bearing
of Q from P
Answer:
MMm mmm mmm mmm sh get wicked mmm mmm mm like what u saying mmm mmm mmm gla mmmm
Step-by-step explanation:
what the volume of the soild
Answer:
A.264
Step-by-step explanation:
((Area Of triangle*height)=Volume
Area of triangle is the base of the triangle multiplied by height of triangle divided by 2
((8*6)/2)*11=264
39. What is the value of x?
Answer:
x = 15
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
sum the 5 exterior angles and equate to 360
5x + 3 + 4x + 8 + 5x + 5 + 6x - 1 + 3x = 360 , that is
23x + 15 = 360 ( subtract 15 from both sides )
23x = 345 ( divide both sides by 23 )
x = 15
Solve for X.
21
14
X
42
x = [?]
Enter the number that belongs in the green box.
Answer:
x = 28
Step-by-step explanation:
By Triangle Proportionality Theorem,
14/x = 21/42
14 * 42/21 = x
x = 28
A cube's edge lengths are each 5 inches. A rectangular prism's length and width are also 5 inches, but its height is 7
1
2
inches.
How many cubic inches larger is the rectangular prism than the cube?
The rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.
What is Volume?Volume is defined as the space occupied by a three dimensional figure.
It is given that
A cube's edge lengths are each 5 inches
A rectangular prism's length and width are also 5 inches, but its height is [tex]\rm 7\dfrac{1}{2}[/tex]
The volume of the cube is given by side * side * side
Volume of cube = 5 *5 * 5 = 125 cu. inches
The volume of cuboid = length * width * height
Volume of Cuboid = 5 * 5 * 15/2Volume of Cuboid = 187.5 cu.inches.
Therefore the rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.
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HELP WITH THE RIGHT ANSWER FOR BRAINLIEST!!!
Answer: this is the wrong answer
Step-by-step explanation:
the graph of y = cos(x) was shifted downwards by 3 units, shrink horizontally by a fourth of a unit, inverted horizontally and shifted 60° to the left. if it has an amplitude of 5 units, write the equation of the resulting graph.
Using translation concepts, it is found that the equation of the resulting graph is given by:
[tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
[tex]y = \cos{x}[/tex]
The transformations are as follows:
Shift down of 3 units, hence [tex]y = \cos{x} - 3[/tex].Shrink horizontally by a fourth of a unit, hence [tex]y = \cos{(4x)} - 3[/tex].Inverted horizontally, hence [tex]y = \cos{-4x} - 3 = \cos{(4x)} - 3[/tex], as the cosine function is even.Shifted 60° to the left, hence [tex]y = \cos{(4x - 60^\circ)} - 3[/tex]Amplitude of 5 units, hence the function is multiplied by 5/2 = 2.5, that is, [tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex].More can be learned about translation concepts at https://brainly.com/question/4521517
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there are 20 students 15 men and 5 women in a maths class,in how many different ways can a committee of 3 men and 2 women be choosen
[tex]\displaystyle\\\binom{15}{3}\cdot\binom{5}{2}=\dfrac{15!}{3!12!}\cdot\dfrac{5!}{2!3!}=\dfrac{13\cdot14\cdot15}{2\cdot3}\cdot\dfrac{4\cdot5}{2}=13\cdot7\cdot5\cdot2\cdot5=4550[/tex]
he graph of the function f(x) = –(x + 6)(x + 2) is shown below.
The domain of the function is all real numbers, the range of a function is y ≤ 4
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = –(x + 6)(x + 2)
If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.
Here the no other details are given.
But we can say:
The domain of the function is all real numbers.The range of a function is y ≤ 4The x-axis intercept will be at (-6, 0) and (-2, 0).Thus, the domain of the function is all real numbers, the range of a function is y ≤ 4
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A dentist has 420 male and female patients that range in ages from 10 years old to 50 years old and up as shown in the table.
What is the experimental probability that the next patient will be female and in the age range 22-39?
The experimental probability that the next patient will be female and in the age range 22-39 is 56/420
What is the experimental probability?Probability is the odds that a random event would happen. The odds usually lie between 0 and 1.
The experimental probability = number of female in the age range 22-39 / total number of patients
= 56/420
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tess saids this shape is a rhombus. Jack says the shape is a square. Who is correct?
Tess and Jack are both correct with their claims
How to determine who is correct?The attached image completes the question
From the complete question, we have the following highlights
The shape has equal side lengthsThe angles at the vertices of the shape are right anglesThe above properties represent a square
A rhombus can also have the above properties when the vertices are at 90 degrees
Hence, Tess and Jack are both correct with their claims
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please please help. i need to submit this in 15 minutes!!!
∆ADB is ~ ∆BEC because <D and <E are right angles which are equal to 90°.
What is a right angle?A right angle is defined as an angle that is formed when two straight line are perpendicular at an intersection creating a 90° angle when measured.
From the diagram, ∆ADB is ~ ∆BEC because <D and <E are right angles which are equal to 90°.
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Eleanor is working her way through school. She works two part-time jobs for a total of 24 hours a week. Job A pays $5.80 per hour, and Job B pays
$7.40 per hour. How many hours did she work at each job the week that she made $158.40.
Step-by-step explanation:
a = hours at job A
b = hours at job B
a + b = 24
a = 24 - b
5.8a + 7.4b = 158.4
note we can use the a = 24 - b identity in the second equation :
5.8×(24 - b) + 7.4b = 158.4
139.2 - 5.8b + 7.4b = 158.4
1.6b = 19.2
b = 12 hours
a = 24 - b = 24 - 12 = 12 hours
she worked 12 hours on job A and 12 hours on job B.
If 12,5 % discounted is offered on a R500,00 pair of shoes ,how much discount will you receive
Answer: R62,500
Step-by-step explanation:
To find the discount, simply multiply 12.5% (0.125 in decimal form) with 500,000
500,000 x 0.125 = 62,500
Answer:
₹62,50
Step-by-step explanation:
The amount of discount is found by multiplying the discount rate by the amount being discounted.
discount = 0,125 × ₹500,00 = ₹62,50
You will receive a discount of ₹62,50.
_____
Additional comment
Here, a comma is used to separate the units part of the number from the fractional part of the number. This decimal separator is an alternative to the use of a period or centered dot (·) for that purpose.
6 x (3+2) divided by 10
Solve the system of equations
−5x−3y=−28 and x+2y=0 by combining the equations
Answer: (8, -4)
Step-by-step explanation:
-5x - 3y = -28
x + 2y = 0
1. Multiply both sides of the bottom system by 5 to cancel the x out
5(x+2y=0)
5x + 10y = 0
2. rewrite
-5x - 3y = -28
5x + 10y = 0
3. add
0x + 7y = -28
4. divide by 7
7y = -28
5. y = -4
6. plug in -4 for y in one of the original equations
x + 2(-4) = 0
7. simplify
x = 8
9. solution is
(8, -4)
Ted needs 2500 metres for job. What length is this in kilometres
Answer:
2.5 kilometers
Step-by-step explanation:
One kilometer is 1000 meters
To convert from metres to kilometers, we divide by 1000
2500 ÷ 1000 = 2.5km
What are the zeros of the quadratic function f(x) = 6x² - 24x + 1?
A.
[tex]x = - 2 + \sqrt{ \frac{1}{2} } or \: x = - 2 \: - \sqrt{ \frac{1}{2} } [/tex]
B.
[tex]x = 2 + \sqrt{ \frac{1}{2} } \: or \: x = 2 - \sqrt{ \frac{1}{2} } [/tex]
C.
[tex]x = - 2 + \sqrt{ \frac{23}{6} } \: or \: x = - 2 - \sqrt{ \frac{23}{6} } [/tex]
D.
[tex]x = 2 + \sqrt{ \frac{23}{6} } \: or \: x = 2 - \sqrt{ \frac{23}{6} } [/tex]
Answer:
D.
Step-by-step explanation:
Use Quadratic formula
x = [-b +- sqrt (b^2 - 4ac) ] / 2a with a = 6 b = -24 c = 1
to find
x = 2 ± sqrt (23/6)
Heart of algebra
If 5=a^x, then 5/a=?
Step-by-step explanation:
[tex]5 = {a}^{x} [/tex]
[tex] \frac{5}{a} = \frac{a {}^{x} }{a} [/tex]
[tex] \frac{5}{a} = {a}^{x - 1} [/tex]
I don’t know how to solve
Answer:
line it, then try to add each number going from the top, my mother gave me that advice before, it works (:
Step-by-step explanation:
Answer:
X go's first then Y
Step-by-step explanation:
I did this before and got 100% promise and mark me brainiest
What represents vector t = –5i + 12j in trigonometric form?
t = 13 ❬cos 67.38°, sin 67.38°❭
t = 13 ❬sin 67.38°, cos 67.38°❭
t = 13 ❬cos 112.62°, sin 112.62°❭
t = 13 ❬sin 112.62°, cos 112.62°❭
The representation of the vector in trigonometry form is t = 13 ❬cos 112.62°, sin 112.62°❭
Complex numberThe representation of complex number in polar form is expressed as;
y = r(cosФ + isinФ)
where;
r is the modulus
Ф is the argument
Given the vector t = –5i + 12j, the modulus of the vector is given as;
r = √(-5)²+(12)²
r = √25 + 144
r = √169
r = 13
Determine the angle between the vectors
Ф = arctan(-12/5)
Ф = -67.38
Since tan is negative in the second quadrant, hence;
Ф = 180 - 67.38
Ф = 112.62°
The representation of the vector in trigonometry form is t = 13 ❬cos 112.62°, sin 112.62°❭
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NEED HELP ASAP!!! PLEASE
The linear function that has a different rate of change from y = -3x+4 is A, a function with a y-intercept of -4 that passes through the point (-3,-13)
What is an intercept?An intercept is the point where a straight line or a curve meets with the x or y axes.
Analysis:
The rate of change is the same as slope. The slope of y = -3x + 4 is -3,
All other functions Except A have a slope of -3.
for linear function A,
if y = mx + c, c = -4, x = -3, y = -13
-13= -3m - 4
-3m = -9
m = 3
In conclusion, linear function A with a y-intercept of -4 passing through the point (-3,-13) has a different rate of change from y = -3x + 4
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use mathematics to calculate [tex] Ilan \ ang \ asawa \ ni \ Sheryl [/tex]
[tex] 4x² - 12x + 9 = 0 [/tex]
[tex]~~~~~~~4x^2-12x+9=0\\\\\implies (2x)^2-2 \cdot 2x \cdot 3+3^2 = 0\\\\\implies (2x-3)^2 = 0\\\\\implies 2x -3 = 0\\\\\implies x =\dfrac 32[/tex]
Esther gave the storekeeper a twenty dollar bill for a purchase of $14.51. How
much change should she have received?
Answer:
She would have received $5.49 change
Answer:
$5.49 ~$5.50
Explanation: $20 - $15.51 = $5.49 therefore you have to round off which would initially equal to $5.50
write an article for publication into the school's magazine on three effects of indiscipline and suggest about three ways of arresting the menace
Answer:
East West Point E.W English School's effects and solutions of indiscipline Effects.peer influence.Teacher's immoral relationship.Poor attitude of teachers to work Solutions .Review children's act to incorporate emerging issues.Indiscipline students be absorbed into correctional schools.That student involved in criminal activities be treated as criminals and dealt with in accordance with lawStep-by-step explanation:.......x y
-1 -10
3 14
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
to get the equation of any straight line, we simply need two points off of it, let's use the ones in the table.
[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} -1&-10\\ 3&14\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{14}-\stackrel{y1}{(-10)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}} \implies \cfrac{14 +10}{3 +1}\implies \cfrac{24}{4}\implies 6[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{6}(x-\stackrel{x_1}{(-1)}) \\\\\\ y+10=6(x+1)\implies y+10=6x+6\implies y=6x-4[/tex]
The mean temperature for the first 7 days in January was 4 °C. The temperature on the 8th day was -1 °C. What is the mean temperature for the first 8 days in January?
Answer:
3.375 °C
Step-by-step explanation:
Mean temperature for first 7 days = 4 °C
⇒ Total temperature over first 7 days = 4 °C × 7 = 28 °C
Temperature on 8th day = -1 °C
[tex]\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}[/tex]
Therefore, mean temperature for first 8 days:
= [28 - 1] ÷ 8
= 27 ÷ 8
= 3.375 °C
pls help would be appreciated
Answer:
Step-by-step explanation:
for 1
area=2x×3x=6x²
for 2
l=3x+2x=5x
b=2x
area=5x×2x=10x²
total area=6x²+10x²=16x²