Answer: to find f(-4)
Gerald was able to mow 1/2 of a lawn in 12 minutes how many lawns could he mow in 2 hours
Answer:
5
Step-by-step explanation:
he can mow one lawn in 24 min
2 hours=120 min
120÷24=5
Type the correct answer in each box. The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is inches, and its width is inches.
Answer: (Width x = 7) (Length 10)
Step-by-step explanation:
(x+3) + = 34/2
2x + 3 = 17
2x = 14
x = 7 -----------Width
10 ---------------Length
Answer: Width= 7 in.
Length= 10 in.
Step-by-step explanation:
[tex]l=w+3[/tex]
The perimeter of the rectangle is 34 inches.
[tex]2(w+l)=34[/tex]
substitute
[tex]2(w+w+3)=34[/tex]
[tex]2(2w+3)=34[/tex]
distributive property [tex]a(b+c)=ab+ac[/tex]
[tex]2\cdot 2w+2\cdot 3=34[/tex]
[tex]4w+6=34[/tex]
[tex]4w+6-6=34-6[/tex]
[tex]4w=28[/tex]
divide 4 on both sides
[tex]w=7[/tex]
Width is 7 inches
substitute w=7 in equation [tex]l=w+3[/tex]
[tex]l=7+3[/tex]
[tex]l=10[/tex]
Length is 10 inches
What is the measure of the missing angle?
88°
92°
98°
180°
Answer:
88°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 2 given angle and subtract from 180 for missing angle
missing angle = 180° - (56 + 36)° = 180° - 92° = 88°
Its the ratio one
If y'all can help that would be great
Answer:
9
Step-by-step explanation:
The 4 part of the ratio represents 12 girls
Divide 12 by 4 to find the value of one part of the ratio
[tex]\frac{12}{4}[/tex] = 3 ← value of 1 part of the ratio, hence
Multiply the 3 part of the ratio by 3 to obtain number of boys
3 × 3 = 9 ← number of boys
Answer:9
Step-by-step explanation: it is 3 to 4 so you multiply 4 by 3 you get 12 you multiply 3 by 3 you get 9
What is the tangent of angle Z?
Answer:
C) 12/5
Step-by-step explanation:
Tan = Opposite / Adjacent
So
Tan(Z) = YX /YZ
Given: YZ = 5 and XZ = 13
so
(YZ)^2 = (XZ)^2 - (YZ)^2
= 13^2 - 5^2
= 169 - 25
= 144
YZ = 12
Tan(Z) = YX /YZ
Tan(Z) = 12/5
If the label of a can of yams were cut off and laid flat, which expression would give the area, A, of the label with the measurements shown?
Answer:
Step-by-step explanation:
yep hes correct C.) A = 2 • π • r • h
Step-by-step explanation:
The distance around a circle is the circumference, and the formula for it is
C = 2πr.
Taking the label off of the can and stretching it out makes this distance around the circle the length of the rectangular label.
To find the area of a rectangle, we multiply length and width; we know the length is 2πr. The width of the rectangle is the height of the can; this makes the area
A = 2πrh. give him brainly not me
Answer:
its option c A=2 times pi times r times h
Step-by-step explanation:
lorena’s backpack has a mass of 20,000 grams. what is the mass of lorena’s backpack in kilograms?
Answer:
20 kg
Step-by-step explanation:
If we want any value in grams to be in kilograms, we divide it by 1000
in this example: 20000/1000
=20 kg
The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principal? Round your answer to the nearest cent.
Answer:
The principal amount was $23,393.45
Step-by-step explanation:
The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%
We will calculate Principal amount by this formula
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A = amount (98,000)
P = Principal amount (P)
r = rate of interest 4.1% (0.041)
n = number of compounding interest monthly (12)
t = time (35 years)
[tex]98,000=P(1+\frac{0.041}{12})^{(12)(35)}[/tex]
[tex]98,000=P(1+0.003416)^{(420)}[/tex]
[tex]98,000=P(1.003416)^{(420)}[/tex]
98,000 = P(4.189386)
= 4.189386P = 98,000
P = [tex]\frac{98000}{4.189386}[/tex]
P = 23,392.4494 ≈ $23,392.45
The principal amount was $23,393.45
Answer:
$23,392
Step-by-step explanation:
Use the compound interest formula and substitute the values given: $98,000=P(1+.041/12)[tex]^{12(35)}[/tex]
Simplify using order of operations:
$98,000=P(1.003416667)[tex]^{420}[/tex]
P=$98,000(1.003416667)[tex]^{420}[/tex]
P≈$23,392
which choice is equivalent to the expression below? heLp!
Suppose 5x^3 + kx^2 – 7x - 6 = (5x + 2)(ax^2 + bx+c) for all x. Find the values of a, b,c, and k.
Answer:
see explanation
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms
(5x + 2)(ax² + bx + c)
= 5x(ax² + bx + c) + 2(ax² + bx + c) ← distribute parenthesis
= 5ax³ + 5bx² + 5cx + 2ax² + 2bx + 2c ← collect like terms
= 5ax³ + x²(5b + 2a) + x(5c + 2b) + 2c
For the 2 sides to be equal then like terms must equate, that is
5ax³ = 5x³ ⇒ 5a = 5 ⇒ a = 1
2c = - 6 ⇒ c = - 3
5b + 2a = k
5c + 2b = - 7 ← substitute c = - 3
- 15 + 2b = - 7 ⇒ 2b = 8 ⇒ b = 4
Substitute a = 1, b = 4 into 5b + 2a = k
20 + 2 = k ⇒ k = 22
The required values are
a = 1, b = 4, c = - 3 and k = 22
Write an equation that gives the proportional relationship of the graph.
A) y = 1/3 x
B) y = 2x
C) y = 3x
D) y = 6x
Answer:
C
Step-by-step explanation:
A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).
6-0 = 6
2 -0 = 2
The ratio is vertical over horizontal so 6/2 = 3.
The equation is y = 3x.
Answer:
C) [tex]y=3x[/tex]
Step-by-step explanation:
1) Checking the coordinate points (2,6), (4,12), (6,18), (8,24). And since the Proportionality Constant is given by
[tex]k=\frac{y}{x}[/tex]
[tex]k=\frac{y}{x}=\frac{6}{2}=\frac{12}{4}=\frac{18}{6}=\frac{24}{8}=3[/tex]
Then k=3
2) A Proportional Function is given by:
[tex]y=kx[/tex]
Thus we can state that proportional function rule as:
[tex]y=3x[/tex]
You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor(the observatory) is 82°. If the total height of the building is another 123 meters above the 86th floor, what is the total height of the building?
base, b = 45m
angle of elevation, aoe = 82deg
height at 86th floor, h1
height above 86th floor, h2 = 123m
total height, h = h1 + h2
using
tan (aoe) = h1/b
=》 h1 = tan (aoe) × b = tan 82 x 45 = 320.2
h = h1 +h2 = 320.2 + 123 = 443.2m
I need some help, thanks!
Answer:
2 sections.
Step-by-step explanation:
Given that number of students that had homework last night = 8
Given that number of students that had not homework last night = 4
Then total number of students = 8+4= 12
Then fraction of students that had not homework last night = 4/12
Alaina used that data to design a spinner with 6 congruent sections.
Then number of sections of Alaina's spinner the represents students who did not have homework = ( 6 section) ( 4/12 fraction)
= 6(4/12)
=24/12
=2
Hence final answer is 2 sections.
which type of probability requires the use of the addition rule. explain ?
When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event. P(A or B) = P(A) + P(B) so you add them
hope this helps :)
PLEASE HELP!!!!
When the battle began, there were 30 percent more brigantines than men-of-war. If there were 260 brigantines, how many total ships took part in the battle?
Complete the truths table
Answer:
First Column:
T
F
F
F
Second Column:
F
T
T
T
Step-by-step explanation:
I'm assuming ~ means NOT and ^ means AND.
Evaluate the first column using AND logic; both inputs must be true for the output to be true.
Only the first case has both inputs true, so it will be the only one with a true output, the rest are all false.
Next, take the outputs from column one and apply NOT logic; the output will be the inverse of whatever the input was
Since the first case is true, its output will be false. Since the remaining cases are false, their outputs will be all true.
QUICK !!
What is the image point of (2,-7) after a translation right 4 units and up 3 units ?
Answer:
(6, - 4)
Step-by-step explanation:
A translation of 4 units right is equivalent to adding 4 to the x- coordinate
A translation of 3 units up is equivalent to adding 3 to the y- coordinate
(x, y) → (x + 4, y + 3) ← translation rule
Hence
(2, - 7) → (2 + 4, - 7 + 3) → (6, - 4)
Anwser: (−2,−7)→(−2+4,−7−2)=(2,−9)
Explanation: {right 4 units: add 4 to x-coordinate}
down 2 units: subtract 2 from y-coordinate
Find the side of an equilateral traingle whose perimeter is 75 cm
Answer:
Each side is 25cm long.
Step-by-step explanation:
75/3=25 (This is because each side of an equilateral triangle is equal to each other.) (The perimeter is all sides added together.)
Answer:
equilateral traingle mean all sides are equal..so 75÷3
=25cm
Step-by-step explanation:
its equal....so we just simply just divide..
PLEASE HELP ASAP <333
What is the sum of the geometric series ?
Answer:
Step-by-step explanation:
There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.
One: 6^(1 - 1) = 6^0 = 1
Two: 6^(2 - 1) = 6^1 = 6
Three: 6^(3 - 1) = 6^2 = 36
Four: 6^(4 - 1) = 6^3 = 216
Sum = 259
Draw a plane intersecting a cube to get
The cross section indicated. Which answer. Thanks.
Answer:
It's B.
Step-by-step explanation:
A gives a triangle.
B gives a rectangle.
C gives a trapezoid.
D gives a square.
What is the distance between points A and C
Answer:
Step-by-step explanation:
(- 4 - 2)² + (- 4 - 1)² = AC²
(- 6)² + (- 5)² = AC²
36 + 25 = AC²
AC² = 61
AC = √61
AC ~ 7.81 unitário
I hope I helped you.
The distance between points A and C is calculated using the displacement vector ĐAC, resulting in a distance of 4.5 km.
Explanation:The student's question, 'What is the distance between points A and C', pertains to the calculation of displacement in a vector context within the field of Mathematics. To determine the displacement vector ĐAC, we apply the given information that point C is located three-quarters of the distance from point A to point B. If the full displacement from A to B, denoted as ĐAB, has a magnitude of 6 km, the displacement vector from A to C, which is ĐAC, has a magnitude of 0.75 times 6 km, which equals 4.5 km.
The displacement vector ĐAC is parallel to ĐAB and in the same northeasterly direction, indicating that the distance from A to C is simply 4.5 km. The student can understand that the magnitude of displacement is different from the distance traveled if the path taken is not a straight line; however, in this instance, the path is straight, and therefore, the displacement coincides with the actual distance covered.
To summarize, the distance between points A and C is the magnitude of the displacement vector ĐAC, which is 4.5 km.
Can you help me on 34 and 35 please
-- #34 is choice-C .
-- See the picture attached to this answer, for both solutions.
Find the area of the triangle, height=x, base=5/3x
Answer:
[tex]A=\frac{5x^{2}}{6}[/tex]
Step-by-step explanation:
Let's solve this by using the Area formula for a triangle:
[tex]A=\frac{1}{2}bh[/tex]
Base: [tex]\frac{5}{3}x[/tex]
Height: [tex]x[/tex]
Solve for A (Area)
[tex]A=\frac{1}{2}(\frac{5}{3}x)(x)[/tex]
[tex]A=\frac{5x^{2}}{6}[/tex]
Since we do not have a given value for [tex]x[/tex], this is as far as we can condense the equation.
The area would be 5x^2/ 6x
Step-by-step explanation:See the image
Using 3.14 for p, what is the volume of a ball with a radius of 3 centimeters?
Answer: 113.1
Step-by-step explanation:
first you have to multiply 4/3*pie or 3.14 times 3
4/3 x 3.14 x 3 = 113.1
Which of the following inequalities matches the graph? graph of an inequality with a solid horizontal line through the point 0, negative 1 and shading above the line
Answer:
[tex]y\geq -1[/tex]
Step-by-step explanation:
The inequality has the attached picture as its graph.. The inequality passes through (0,-1) and is a horizontal line. This means the inequality has the form y < b or y > b where b is the y-coordinate. Since the \shading is above the line then the values must be greater than -1. It is also a solid line so the inequality is equal to. The inequality is [tex]y\geq -1[/tex]
can you please help me
Answer:
[tex]\large\boxed{f(-7b)=-35b+10}[/tex]
Step-by-step explanation:
[tex]\text{Put}\ v=-7b\ \text{to the function}\ f(v)=5v+10:\\\\f(-7b)=5(-7b)+10=-35b+10[/tex]
help me please asap!!!!!
Answer:
Step-by-step explanation:
It's simple just review the division and rules of exponents.
The slash means nothing more than divide 8/2=4 You're diving right? See!
The rule for exponents states that when diving exponents you subtract them, as you see x^3 near and under it is x so you divide the numbers and subtract the exponents.
8/2=4
exponents x^3/x subtract x^2
4x^2
next..6/2=3
exponents x^2-x=x think of it as x is always 1 the exponent just shows you how many xs you have.
So, put the numbers together now 4x^2+3x if you're ever given a negative number just bring it to the opposite side of the line. There's many videos that you can watch online that should help!
The answer for your question would be, 4x^2+3x.
You're welcome!
Find the slope of a line perpendicular to each given line x=3
Answer:
0 or undefined
Step-by-step explanation:
Answer:
The slope doesn't matter.
Step-by-step explanation:
Since the variable equals a constant, any y value would be perpendicular to x = 3.
So lines perpendicular to x = 3 would be,
y = 1y = 2y = 3And so on...A rock drops from a height of 60m. how long does it take for it to hit the ground?
Answer:
The answer is actually C. 3.5. I just answered this question on a quiz and I got it correct. I'm sorry for the late response but I hope this helps!
what is the rule for the reflection?
Step-by-step explanation:
the y-axis is the point (-x,y). Reflect over the y = x: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).
Answer:
The rule for reflection on the x-axis is (x,y) -> (x,-y)
The rule for reflection on the y-axis is (x,y) -> (-y,y)
Step-by-step explanation:
A reflection is a transformation that represents a turn of a figure. The figures can be reflected in a point, a line, or a plane.
A reflection copies each point of a figure to an image through a fixed line. The fixed line is called the reflection line.