Answer:
x = 4
Step-by-step explanation:
to find the zero equate f(x) to zero , that is
5x - 20 = 0 ( add 20 to both sides )
5x = 20 ( divide both sides by 5 )
x = 4
then the zero is x = 4
This week, Ty works 6 hours pulling weeds, 4 hours raking leaves, and 9 hours
cutting grass. How much money does he earn?
Ty earns $
this week.
Answer:6(a)+4(b)+9(c)
Step-by-step explanation:
Im pretty sure there was an equation that you did not put.
But the equal used to solve would be 6(a)+4(b)+9(c)
a= money earned pulling weeds
b=money earned raking leaves
c=money earned cutting grass.
The table shows the percent of each type of sandwich a cafe had available on Sunday. Sandwich Percent Ham 35 Roast Beef 25 Turkey 40 There are a total of 225 ham and turkey sandwiches. How many sandwiches did they have in all on Sunday? sandwiches Part B Fill in the blank question. If the cafe sells all the sandwiches at $4.50 each, how much money will the cafe earn?
The total number of sandwiches they have in all on Sunday is 375 sandwiches.
The amount earned by the cafe if each sandwich cost $4.50 is $1,687.5
What is the total number of sandwiches?Ham sandwich = 35%Roast beef sandwich = 25%Turkey sandwich = 40%Total ham and turkey sandwiches = 225Total number of sandwiches = xTotal percentage of ham and turkey sandwiches = 35% + 25%
= 60%
So,
225 = 60% of x
225 = 0.60 × x
225 = 0.60x
divide both sides by 0.60
x = 225/0.60
x = 375
Hence,
Total number of sandwiches = 375
If the cafe sells all the sandwiches at $4.50 each
The total money earned by the cafe = cost of each sandwich × total number of sandwiches
= $4.50 × 375
= $1,687.5
Therefore, the total sandwiches sold in the cafe on Sunday is 375 sandwiches.
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help meee please for a lot of points it gotta be to answer choices
Answer:
B and D
Step-by-step explanation: I got it right
use the parallax formula to complete the following statements correctly.
A star with a parallax angle of 0.1 arcsecond is ___ away from us:
A star with a parallax angle of 0.01 arcsecond is ___ away from us:
A star with a parallax angle of 0.001 arcsecond is _____ away from us.
A star with a parallax angle of 0.0001 arcsecond is ____ away from us.
The distance between us and a star with a parallax angle of 0.1 arcsecond is 3.26 light years.
The distance between us and a star with a parallax angle of 0.01 arcsecond is 326 light years.
The distance between us and a star with a parallax angle of 0.001 arcsecond is 3260 light years.
The distance between us and a star with a parallax angle of 0.0001 arcsecond is 32600 light years.
How do you determine distances?The distance at which an object has a parallax of 1 arcsecond is known as a parsec. 3.26 light years are about how far this is.
The length of one parsec is 3.26 light years.
One arcsecond is equal to one parsec, which is equal to 3.26 light years.
We determine the other provided arcseconds based on this comparison.
3.26 light years make up a parsec.
0.1 arcsecond = 10 parsec
= 10 * 3.26 light years
= 32.6 light years
0.01 arcsecond = 100 parsec
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Anyone know where I can get the awsners for these? The top of the paper says ACT Skills Prep, Week 1
Answer:
More than likely no full answer key however there might be answers for each individual question.
A body A of mass 1.5kg, travelling along the positive x-axis with speed 4.5m/s collides with another body B of mass 3.2kg which, initially, is at rest. Because of the collision, A deflected and moves with a speed 2.1m/s in a direction which is at angle 30° below the x-axis. B Is set in motion at an angle tether above the x-axis. Calculate the velocity of B after the collision.
Answer:
FINAL ANSWER: BODY B was moving at 1.35 m/s, 21 degrees above the x-axis.
Step-by-step explanation:
REFER TO THE IMAGES for the SOLUTIONS TO YOUR PROBLEM. Each step will be explained here.
When you solve for velocities before or after collision, you need to remember the law of conservation of moment which can be expressed through this formula:
BEFORE AFTER
m1v1+m2v2 = m1v1 + m2v2
This basically means, the sum of momentum of 2 objects BEFORE collision is equal to the same 2 objects AFTER collision.
The type of collision we have in your case is a 2D collision, where there is a gliding collision or they touch at an angle. So when you solve these type of problems, you have to consider the x and y components of motion. It makes things easier if you make a table like in the image to sort out your components.
STEP 1: COMPUTE FOR MOMENTUM BEFORE COLLISION for each OBJECT involved.
To solve for momentum, the formula is mass x velocity or mv:
STEP 1a: Body A: The problem states that before collision Body A is moving along the positive X-axis so the velocity will be +4.5 m/s. Notice that the velocity of the y component is 0 m/s. This is because BODY A is moving along the x-axis, with no mention that it deviated from it.
STEP 1b: Body B: Body B is at rest before collision, that is why it is not moving at all, which means both x and y components are equal to 0.
STEP 1c: Get the sum of all X components and the Sum of Y components.
STEP 2: COMPUTE FOR MOMENTUM AFTER COLLISION for each OBJECT involved.
Step 2a: BODY A: Notice that we now have an angle. hence the cos and sin. We do this because we are breaking or decomposing the diagonal velocity into its x and y component. To get the x-component you get the cos of the angle and multiply it to the momentum of the diagonal or overall velocity. For y-component, instead of cos, you get the sin.
Step 2b: BODY B: Here we have unknowns, which we will derive later on. In this step, just plug in what you know into the formula.
Step 2c: We already know the x and y momentum of the objects BEFORE collision and the law of conversation of momentum states that the momentum AFTER is the same. With this total we can move onto the next step.
STEP 3: Solving for the X and y component of the velocity of BODY B AFTER collision.
Step 3a: Using the formula given in the image, we plug in what we know first. We know the momentum of the BODY A already, so we can put it into the equation. We also know the sum of both momenta and we put that into the equation too. Now all we do is derive the formula. DO NOT FORGET THAT WE ARE TO USE ONLY X COMPONENTS.
Step 3b: is the same as the previous step but instead, we use Y COMPONENTS only.
STEP 4: Combining X and Y components to get the resultant velocity:
For this step you need to remember the Pythagorean theorem. This is applied here because when you draw a free body diagram of the velocities, it creates a right triangle where :
the hypotenuse represents the final velocity
the opposite side represents the y-component and;
the adjacent represents the x-component.
Refer to the image for the solution.
STEP 5: Solving for the angle at which BODY B is moving:
For this step you need to remember SOH CAH TOA to find the angle at which BODY B is moving. You already have all the components you need, including the hypotheses. You can use any of the functions, and they should come up with the same approximation.
FINAL ANSWER: BODY B was moving at 1.35 m/s, 21 degrees above the x-axis.
The microwave oven uses only 1000 watts of electricity. Does this allow you to have both the microwave oven and the toaster plugged into the circuit at the same time? Explain your reasoning.
Suppose that the function h is defined, for all real numbers, as follows.
According to the query that the function h is established, h(-3) = -1/2, h(2) = 4, and h(4) = -4/1 for all real integers.
What are the different kinds of functions?An statement, rule, or law in mathematics that establishes the link between an independent variable and a predictor variables (the dependent variable). Equations may be found all around arithmetic, and they are essential for building physical connections in the sciences. A mappings between A and B will only be a function if every member in set A only has end and only 1 photo in set B. Where A & B even be two separate sets.
Briefing:Have used the top form of h(x) for x = variables -3 and 4 (which deviate from 2):
[tex]\begin{aligned}& h(x)=-\frac{1}{2} x^2+4 \\& h(-3)=-\frac{1}{2}(-3)^2+4=-\frac{9}{2}+4=-\frac{9}{2}+\frac{4}{2}=-\frac{1}{2} \\& h(4)=-\frac{1}{2}(4)^2+4=-\frac{16}{2}+4=-\frac{16}{2}+\frac{4}{1}=-\frac{4}{1}\end{aligned}[/tex]
Alternatively, h(2) must be defined explicitly as stated in the function's second description (specific for when x equals 2). Thus, h(2) equals 4.
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Alan purchased three types of pipe for a plumbing job: foot of PVC pipe, foot of copper pipe, and 2 feet of cast iron
pipe. How many total feet of pipe did he purchase? (Simplify your answer and state it as a mixed number.)
O2 feet
Answer: 4 feet of pipe
Step-by-step explanation:
1(f)+1(f)+(2(f)=4(f)
f=feet
Solve for y. y ≥ 10 y ≥ -10 y ≤ -10 y ≤ 10
The solution for y in the inequality is (a) y ≥ 10
How to determine the solution for x?From the question, we have the following inequality expression that can be used in our computation:
42≤4.2y
Rewrite the expression properly
So, we have the following representation
42 ≤ 4.2y
Divide both sides of the inequality by 4.2
So, we have
42/4.2 ≤ 4.2y/4.2
Evaluate the quotients
So, we have the following representation
10 ≤ y
Rewrite the expression as
y ≥ 10
Hence, the solution is y ≥ 10
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Possible question
Solve for y. 42≤4.2y
y ≥ 10 y ≥ -10 y ≤ -10 y ≤ 10
PLEASE HELP ASAP!!!! FULL ANSWER ONLY!!!
A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The quadratic function h = − 16 t^2 + 84 t + 72 models the ball's height above the ground, h , in feet, t seconds after it was thrown.
a) What is the maximum height of the ball? ____________ feet
b) How many seconds does it take until the ball hits the ground? ____________ seconds
The time taken by the ball to hit the ground is 9 seconds in quadratic equation .
What does quartic equation mean?
A fourth-degree equation, also known as a quartic equation, is one that reduces a quartic polynomial to zero and has the formula: where a 0. A quartic function's derivative is a cubic function.
a) The maximum height of the ball can be obtained by differentiating the given quadratic function, h = -16t² + 136t + 72.
Differentiating both sides.
δh/δt = -32t + 136
-32t + 136 = 0
or, t = 136/32 = 4.5.
To check whether the value of h is maximum/minimum at t = 4.5, we differentiate
δh/δt = -32t + 136
δh/δt = -32
which is < 0, which that implies, h is maximum at t = 4.5.
the maximum height, by putting in t = 4.5, in the equation, to get:
h = -16(4.5)² + 136(4.5) + 72,
or, h = -16(20.25) + 612 + 72,
or, h = -324 + 684 = 360
Therefore, The maximum height of the ball is 360 feet.
b) the quadratic function h = -16t² + 136t + 72, as the height of the ball at the ground is 0.
Therefore, it can be written as:
0 = -16t² + 136t + 72.
or, 16t² - 136t - 72 = 0.
Solving this using the quadratic equation, we get
t = - ( -136)± √(-136)² - 4( 16 ) ( -72)/2 * 16
t = 136 ± √18496 + 4608/32
t = 136 ± √23104/32
t = 136 ± 52/32
Therefore, either t = (136+152)/32 = 9,
or, t (136 - 152)/32 = -0.5.
Since t represents time, we won't take the negative value, and hence t = 9.
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Solve one and three-fourths times two-fourths equals blank.
fourteen-sixteenths
fifteen-sixteenths
one and one-sixteenth
one and two-sixteenths
Answer:
fourteen-sixteenths or seven eights = 7/8 or 14/16
Step-by-step explanation:
two packages of cookies cost $9.50. How much do seven packages cost?Try using a proportion to solve or finding unit rate?
Answer:
$33.25
Step-by-step explanation:
Two packages cost $9.50
Divide $9.50 by two get the cost for one package
$4.75 per package
$4.75 * 7 to get the cost for 7 packages
$33.25
Leila's vegetable garden has an area of 400 ft. It is the shape of a rectangle with a length of 40 ft and a width of She has decided to expand the garden to make room for several new varieties of lettuce. The new garden will be a larger rectangle. She plans on making the new length 2 times the current length and the new' width 4 times the current width.
(a) Fill in the blanks to describe the size of Leila's new garden.
___ ft x ___ ft = ___ ft²
(b) How will the expansion change the area of the garden?
The area of the new garden will be _____ times the area of the current garden.
(c) Leila's friend Keiko also wants to expand her rectangular garden. Keiko wants her new garden to be a rectangle that has 20 times the area of her current garden. She goes to Leila for advice. Fill in the blank so that Leila's advice to Keiko is correct.
Make the new length 5 times the current length, and make the new width _____times the current width.
The answers of all the blanks are as:
a) 3200ft².
b) 8 times.
c) 100ft.
What is the area of the rectangle?
When calculating a rectangle's area, we multiply the length by the width of the rectangle.
we have,
length = 40ft
width = 10ft
Leila's vegetable garden has an area of 400 ft.
a)
new length = 40 * 2 =80ft
new width = 10 * 4 = 40ft
Therefore, this describes the size of Leila's new garden :
= 80 * 40 = 3200ft²
b)
3200 / 400 = 8
The expansion changes the area of the garden:
The area of the new garden will be 8 times the area of the current garden.
c)
Leila's friend Keiko wants to expand her rectangular garden by 20 times the area of her current garden:
400 * 20 = 8000ft²
Keiko's garden length would be 5 times the current length:
40 * 5 = 80ft
and the new width would be the current width :
new width of Keiko's garden = 8000 / 80 = 100ft.
Hence, the answers of all the blanks are as:
a) 3200ft².
b) 8 times.
c) 100ft.
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PLS HELP WILL MARK BRANLIEST!!
Find the m
54°
90°
27°
36°
Answer:
[tex]\huge\boxed{\sf < p = 36\°}[/tex]
Step-by-step explanation:
Since, the line is tangent to the circle, it is making an angle of 90 degree with the radius.
So,
∠p + 54 + 90 = 180 (Interior angles of a triangle add up to 180°)
∠p + 144 = 180
Subtract 144 to both sides
∠p = 180 - 144
∠p = 36°[tex]\rule[225]{225}{2}[/tex]
Answer:
36°
Step-by-step explanation:
Tangent lines form Right Angles (90°) with all radii of circles.
Triangle Angle Sum: the three angles in a triangle add to 180°
90 + 54 + p = 180
144 + p = 180
p = 36
Perform the operations! 30 points
Step-by-step explanation:
5x³-6x³=-x³
5x²--3x²=8x²
-4x--5x= x
11--5=16
overall answer: -x³+8x²+x+16
please mark brainliest
Could anyone help? I have to turn this in tomorrow!
Answer:
Step-by-step explanation:
5 is D
6 is also D
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounces of sugar, how many ounces of flour would you need to use? Solve by using equivalent fractions.
_________________ounces of flour (write just the number)
Correct answer is:
27
Answer:
There would be 27 ounces of flour
Step-by-step explanation:
The ratio is 7:3 for sugar to flour.
I divided the 63 ounces of sugar by 7 to earn 9
Now, I multiplied 9 by 3 to get 27
Now thee ratio is 63:27
If you divide 7 and 3 you will get 2.3 repeating
If you divide 63 and 27 you will also get 2.3 repeating
Hope that makes sense! ;)
"Test I. Encircle the letter that corresponds your answer. 2 points each
1. How many solutions do you get when you solve by completing the square?
a. 1
b. 2
c. 3
d. 4
2. When completing the square, what do you do if your x squared term has a coefficient?
a. Divide both sides by this coefficient
c. Multiply both sides by this coefficient
b. Nothing
d. Move it to the other side
3. Find the value of b in the quadratic equation 2x²=-5 x+7
a. 2
b. 5
c. -7
d. -5
4. Which of the following mathematical statements is not a quadratic equation?
a. 2 r²-3r-5=0
c. 3t²+7t-2=0
b. 7h+12=h²
d. s²=-8s-15
5. It is a polynomial equation of degree two that can be written in the form ax²+bx+c=0, where a, b, and c are real numbers and a≠ 0.
a. Linear Equation
b. Linear Inequality
c. Quadratic Equation
d. Quadratic Inequality)
"
The solutions using completing the square of quadratic equations are;
1) B: 2
2) A: Divide both sides by this coefficient
3) B: 5
4) All are quadratic equations
5) C. Quadratic Equation
How to solve quadratic equations by completing the square?1) Completing the square is basically a method for solving quadratic equations. Now, quadratic equations are second degree polynomials and as such have 2 roots. Thus, the solutions are 2.
2) Usually when using the method of completing the square, we are also trying to get rid of the coefficient attached to x squared and as such if we notice x squared has a coefficient, we will divide both sides by this coefficient.
3) The general form of quadratic equation is;
y = ax² + bx + c
Thus, we have;
2x² + 5x - 7 = 0
Thus, b = 5
4) They are all quadratic equations.
5) The correct one here is Quadratic Equation
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Find the solution of the system of equations.
4x - y = -1
-4x-6y=-34
Answer:
Step-by-step explanation:
4x-3y=11. 2 (2x-7y=22).=> 4x-14y=44. 4x-3y=11....................1. 4x-14y=44. 11y= -33. y= -3. then,putting it in 1. 4x-3 (-3)=11.
This is NOT multiple choice
Consider the equation
x+3/x-2 = x-4/x+5
A) solve the equation for x. Show and explain each step used when solving the equation
B) show and explain how the solution can be verified
Step-by-step explanation:
(X+3)/(x-2)=(x-4)/(X+5)
cross multiply
(x+3)(x+5)=(x-4)(x-2)
x(X+5)+3(X+5) = X(x-2)-4(x-2)
x²+5x+3x+15=x²-2x-4x+8
x²+8x+15=x²-6x+8
x²-x²+8x+6x=8-15
14x=-7
X=-7/14
X=-1/2
B)to verify substitute the answer in the equation given
that is RHS
X+3/x-2
=(-1/2+3)/(-1/2-2)
=5/2/-5/2
=-1
from LHS
x-4/(x+5)
=(-1/2-4)/(-1/2+5)
=-9/2/-9/2
=-1
the LHS= RHS
proved
Pauline plots the numbers 4 1/3 and -51/8 on a number line. Explain how she can use the number line to determine which number is greater . Write an ineaquality to compare the bumbers
The required inequality is 4¹/₃ > -5¹/8.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given numbers are 4¹/₃ and -5¹/8.
The numbers are plotted on the number lines below,
To determine the number which is greater,
The number which is greater than zero will be greater from the numbers 4¹/₃ and -5¹/8.
4¹/₃ is a greater number.
The inequality can be written as,
4¹/₃ > -5¹/8.
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What is the distance between point p and q
- P(-5,7) Q(6,7)
The distance between the two points P(-5, 7) and Q(6, 7) is 11 units.
What is the distance formula?The distance formula between two points (x₁, y₁) and (x₂, y₂) is,
D = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
Two points are given P(-5, 7) and Q(6, 7).
∴ D = [tex]\sqrt{(6 + 5)^2 + (7 - 7)^2[/tex].
D = [tex]\sqrt{(11)^2[/tex].
D = 11 units.
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Greatest common factor of 48, 8, 32
Answer 16
Step-by-step explanation:
Solve w=1/2x^2y for x
Answer : x= [tex]\sqrt{2wy}[/tex]/ y
Step-by-step explanation:
Solve the system of linear equations by substitution.
5x + 2y = 9
-0.5x - y = 7.5
Answer:
Step-by-step explanation:
[tex]\displaystyle\\\left \{ {{5x+2y=9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \atop {-0.5x-y=7.5\ \ \ \ \ \ \ \ |\cdot2}} \right. \\\\\\\left \{ {{5x+2y=9} \atop {-x-2y=15}} \right. \\+\\--------\\4x=24\ \ \Rightarrow\ x=24:4\Rightarrow\ x=6\\\\y=-0.5x-7.5=-0.5\cdot6-7.5=-3-7.5=-10.5\\\\\boxed{(x;y)=(6;-10.5)}[/tex]
A pillar of height 222 ft casts a shadow of 348 ft long.
Find the measure of the angle of elevation of the sun.
Using tangent of the angle, the angle of elevation is 32.5 degrees
Angle of ElevationThe angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
In this problem, we have to use the tangent of the angle since we know the opposite and adjacent sides
opposite side = 222adjacent side = 348Tan θ = opposite / adjacent
tanθ = 222 / 348
tan θ = 0.6379
θ = tan⁻¹(0.6379)
θ = 32.5°
The angle of elevation is 32.5 degrees
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Drag the labels to the correct locations on the image. Each label can be used more than once, but not all labels will be used.
Consider function m.
Solve for x and the missing measures given QS = 34 and TS = 3x + 2
Answer:
x = 5
TS = 17
QT = 17
Step-by-step explanation:
The tick marks show us that line segment QT is equal to TS.
QS = QT + TS and QT and TS are the same length
34 = 2(3x + 2) Distribute the 2
34 = 6x + 4 Subtract 4 from both sides
30 = 6x Divide both sides by 6
5 = x
Substitute in 5 for x
3x + 2
3(5) + 2
15 + 2 = 17
TS is 17
QT is 17
f(t)=-12(t+7)^2(t+6)^3(t+2)^6
Find the zeros and the multiplicities. Please help.
The zeros and the multiplicities of the polynomial are t = -7, t = -6 and t = -2 and 2, 3 and 6, respectively
How to determine the zeros and the multiplicitiesThe equation of the polynomial is given as
f(t) = -12(t+7)²(t+6)³(t+2)⁶
The multiplicities are the powers of the factors while the zeros are calculated by setting the factors to 0
So, we have
t + 7 = 0
t + 6 = 0
t + 2 = 0
Calculate the value of t
t = -7, t = -6 and t = -2
Hence the zeros are t = -7, t = -6 and t = -2
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