Answer:
The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Step-by-step explanation:
Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).
To find the values in the domain where f(x) = 0, we look at the ordered pairs given.
We look for the pair in which f(x) = 0.
So f(x) = 0 in (-2.5, 0)
f(x) = 0 in (-0.75, 0)
and f(x) = 0 in (1, 0)
The corresponding values of x in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Answer:
C. [tex]x=1[/tex]
Step-by-step explanation:
When x is 1, y is 0.
Max is trying to prove to his friend that two reflections, one across the x-axis and another across the y-axis, will not result in a reflection across the line y = x for a pre-image in quadrant II. His friend Josiah is trying to prove that a reflection across the x-axis followed by a reflection across the y-axis will result in a reflection across the line y = x for a pre-image in quadrant II. Which student is correct, and which statements below will help him prove his conjecture? Check all that apply.
Max is correct.
Josiah is correct.
If one reflects a figure across the x-axis from quadrant II, the image will end up in quadrant III.
If one reflects a figure across the y-axis from quadrant III, the image will end up in quadrant IV.
A figure that is reflected from quadrant II to quadrant IV will be reflected across the line y = x.
If one reflects a figure across the x-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, –y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (–x, y).
Taking the result from the first reflection (x, –y) and applying the second mapping rule will result in (–x, –y), not (y, x), which reflecting across the line y = x should give.
Answer:
The correct option is;
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).
Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give
Step-by-step explanation:
We have that for reflection across the x-axis, (x, y) → (x, -y)
For reflection across the y-axis, (x, y) → (-x, y)
Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;
For reflection across the y-axis, (x, -y) → (-x, -y)
For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)
Answer:
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).
Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give
Step-by-step explanation:
In a bag containing cards numbered 1 to 10,one of which is drawn at random.Find the probability that it is a 5
Answer:
1/10
Step-by-step explanation:
there are 10 cards, numbered 1 through 10, there is one "5" card. so that's 1 card out of 10 cards, therefore a 1/10the chance or a 10% chance you'll get a 5 (or any specific number)
HELP ME! In a complete sentence, describe the relationship between the three angles in the diagram below. Write and solve an equation to find the value of b and the measures of ∠QPS, ∠SPT, and ∠TPR.
Answer:
b = 17
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
Step-by-step explanation:
The sum of the three angles shown is a linear angle, with a measure of 180°.This fact can be used to write an equation:
(8b -12)° +b° +(2b+5)° = 180°
11b -7 = 180
11b = 187
b = 17
8b -12 = 8(17) -12 = 124
2b +5 = 2(17) +5 = 39
The value of b is 17.
The angle measures are ...
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
i will give brainliest.On every sale of goods worth N10,000.00, there is a commission of N550.00. If
an agent delivers N150,000.00, find his commission. pls helllp
Answer:
8250
Step-by-step explanation:
I think
A line has____ rotational symmetry. A. Four-fold B. Six-fold C. Two-fold D. Seven-fold
Answer:
Option C
Step-by-step explanation:
A line has a 2-Fold rotational symmetry because if we rotate the line about 180, The resulting thing will be the same line.
Answer:
[tex]\boxed{\mathrm{C}}[/tex]
Step-by-step explanation:
A line has two-fold rotational symmetry.
The line rotated two times from a central point remains the same.
Or the line rotated 180 degrees from a central point remains the same.
Simplify (1.92.2.4%)?(1.93.2.42):3
Answer:
1/16.4616
Step-by-step explanation:
(1.9^2*2.4^-3) (1.9^3*2.4^-2)^-3
(1.9^2*2.4^-3) * 1 / (1.9^3*2.4^-2)^3
1.9^2*2.4^-3 / (1.9^3*2.4^-2)^3
1.9^2 * 1 / 2.4^3 ÷ (1.9^3* 1 / 2.4^2)3
1.9^2 / 2.4^3 × (2.4^2/1.9^3)^3
(1/2.4) (1/1.9)^3
(1/2.4) (1/6.859)
1/16.4616
someone please help me, im so confused ack. In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be StartFraction pi Over 4 EndFraction times the volume of the pyramid that it fits inside. A cone is inside of a pyramid with a square base. The cone has a height of h and a radius r. The pyramid has a base edge length of 2 r. Which statement best describes where the StartFraction pi Over 4 EndFraction comes from in the formula derivation? A. It is the ratio of the area of the square to the area of the circle from a cross section. B. It is the ratio of the area of the circle to the area of the square from a cross section. C. It is the difference of the area of the square and the area of the circle from a cross section. D. It is the sum of the area of the square and the area of the circle from a cross section.
Answer:
The correct option is;
B. It is the ratio of the area of the circle to the area of the square from a cross section.
Step-by-step explanation:
The formula for the volume of a pyramid = 1/3*Area of base*Height
The formula for the volume of a cone = 1/3*Area of base*Height
The area of the base of the square pyramid of side 2r = 2r*2r = 4r²
The area of the base of the cone of base radius r = πr²
The ratio of the volume of the cone to the volume of the square pyramid is given as follows;
[tex]\dfrac{\dfrac{1}{3} \times \pi \times r^2\times h}{\dfrac{1}{3} \times( 2 \times r)^2\times h}[/tex]
Given that the height are equal, h/h = 1, which gives;
[tex]\dfrac{\dfrac{1}{3} \times \pi \times r^2}{\dfrac{1}{3} \times( 2 \times r)^2} = \dfrac{Area \ of \ the \ circle}{Area \ of \ the \ square} =\dfrac{\dfrac{1}{3} \times \pi \times r^2}{\dfrac{1}{3} \times 4 \times r^2} = \dfrac{\pi }{4}[/tex]
Therefore, where the π/4 comes from is that it is the ratio of the area of the circle to the area of the square from a cross section.
Answer:
b
Step-by-step explanation:
writing linear equations
Answer:
The graph in blue: y=4/3x-2
Step-by-step explanation:
Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept.
To find the slope, you just put rise/run of the line.
Hope this helped :)
According to the graph, what is the value of the constant in the equation
below?
A. 10
B. 20
C. 100
D. 4
Answer:
C. 100
Step-by-step explanation:
You can rearrange the equation to say ...
(Height)(Width) = Constant
Multiply any of the coordinate values shown, and you will see the constant is 100.
4×25 = 5×20 = 10×10 = 20×5 = 100
The constant is 100.
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 3.5?
Perimeter = 98 cm, area = 588 cm2
Perimeter = 42 cm, area = 109.25 cm2
Perimeter = 42 cm, area = 588 cm2
Perimeter = 98 cm, area = 109.25 cm2
Answer:
first option
Step-by-step explanation:
After it's enlarged, the new dimensions will be 6 * 3.5 = 21 and 8 * 3.5 = 28, therefore, the new perimeter will be 2(21 + 28) = 2 * 49 = 98 and the area will be 21 * 28 = 588.
A sixth-grade class is growing plants for their
science projects. Each student spent $1.00 for a
package of seeds and $2.50 for a container to
plant the seeds in. There are 30 students in the
class. How much money did the sixth-grade class
spend on seeds and containers in all?
Answer:
5.76
Step-by-step explanation:
Answer:
$105
Step-by-step explanation:
Each student buys one package of seeds and one container
s = Amount of students; p = price of seed package; c = price of container
s*(p+c)=30(1.00+2.50)=30(3.5)$105.
Hope This Helps!
Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are shown in the circle graph below. Find the measure of each central angle in the circle graph for the following: a.sleeping b.eating
Answer:
C) 118.8; 28.8
Step-by-step explanation:
for eating, it didn't make sense for it to be 288 degrees, so i eliminated the two off the list. For sleeping, it made more sense for it to be a 118.8 degree angle, so I narrowed it down to C.
The central angle for sleeping is 118.8 degrees and the central angle for eating is 28.8 degrees.
What is the central angle of a pie chart?
The angle formed by an arc of the circle at the center of the circle is called central angle of a pie chart.
How to find the central angle of a pie chart?central angle = [tex]\frac{sector}{100}[/tex] × 360
According to the given question
We have a pie chart
In which, time spend by students in different activities is given.
Now,
The measure of central angle for sleeping is given by
Central angle for sleeping = [tex]\frac{sector}{100}[/tex] × 360
⇒ Central angle for sleeping =[tex]\frac{33}{100}[/tex] × 360 = 118.8 degrees.
Similarly,
The measure of central angle for eating is given by
Central angle for eating = [tex]\frac{8}{100}[/tex] × 360 = 28.8 degrees
Hence, first option is correct.
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Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?
Answer:
x = -8
Step-by-step explanation:
Let's put this into numbers: [tex]\frac{3}{4}[/tex]x =-6
The first thing you want to do is to multiply both sides by 4:
3x=-24
Next you need to divide by 3:
x=-8
The answer is -8
Answer:
-8
Step-by-step explanation:
Let's put this into numbers: x =-6
The first thing you want to do is to multiply both sides by 4:
3x=-24
Next you need to divide by 3:
x=-8
The answer is -8
The 2 equations only pls
Payday context:
It’s the end of the month which means it is time to pay your coffee shop employees. Make sure each employee gets paid the correct amount
(write an equation for each situation and solve) identify variables when applicable
Answer:
she works 50 hours for that week
Step-by-step explanation:
She is paid $18 per hour and received a bonus of $125 per bonus for the first week . she claims her compensation for the first week should be $1025 . The number of hour she worked base on her claim can be calculated below.
Let
the number of hours she worked = a. Therefore,
18a + 125 = 1025
18a = 1025 - 125
18a = 900
divide both sides by 18
a = 900/18
a = 50
she works 50 hours for that week
The text classifies information systems as either operations or management support information systems. Which one of the following would not be classified as an operations support system?
A. Transaction processing systems
B. Process control systems
C. Enterprise collaboration systems
D. Decision support systems
Answer:
D. Decision support systems
Step-by-step explanation:
Operation Support System, sometimes referred to a group of computer programs that is used by the communications service provider for carrying out various operations or functions, such as monitoring, controlling, analyzing and managing a telephone or computer network.
It is often used by professionals such as Network planners, service designers, operations, architects and engineering teams in the service provider.
There are however, types of Operation Support System which are being used for different and specific purpose. They are classified into the following categories:
1. Transaction Processing Systems
2. Process control system
3. Enterprise collaboration system
4. Enterprise Resource
Hence, from the question above, the DECISION SUPPORT SYSTEM is not classified as Operation Support System.
Lines L and K are parallel to each other. Measure of angle A= 120 degrees, and measure of angle C= 80 degrees. What is the number of degrees in measure of angle B? Please answer ASAP! Thanks!
Answer:
160°
Step-by-step explanation:
The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80 to get 110 than subtracted that from 180 to get 70. Lastly, i added 90° to 70° to get 160°
Hope this helped you get the answer :)
The measure of angle B in Parallel lines will be 160°.
What are parallel lines?
Parallel lines are those lines that never intersect at any point and always maintain a constant distance.
We have,
Lines L and K are parallel to each other.
And,
The measure of angle A = 120°
The measure of angle C = 80°
Now,
Draw a straight line from A to B,
So, that ∠BAl = 90° and
∠ABk = 90°
We get,
ΔABC,
Now in ΔABC,
∠C = 80°
∠A = 120 - 90 = 30°
So, Using Tringle angle sum property,
80° + 30° + ∠ABC = 180°
⇒
∠ABC = 180° - 110°
∠ABC = 70°,
Now,
Adding ∠ABC and ∠ABk, to get ∠CBk,
i.e.
∠CBk = ∠ABC + ∠ABk = 70° + 90°
∠CBk = 160°
Hence we can say that the measure of angle B will be 160°.
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Amanda just bought a skirt at the GAP that is usually $40 but was marked 20% off.how much did Amanda pay for the skirt?
Answer:
$32
Step-by-step explanation:
the skirt is on sale. 40 times 0.20 (because of 20 divided by 100) is 8. That means that the skirt is $32 since $40-$8=$32.
Answer:
$32
Step-by-step explanation:
discount is $8
Someone can u help please! Thx
======================================================
Explanation:
The radius of the circle is r, which doubles to 2r to get the diameter. The diameter of the circle is also the diagonal of the square. Consequently, this means we have two right triangles in which they have the same hypotenuse of 2r.
Let x be the side length of the square. Use the pythagorean theorem to isolate x
a^2 + b^2 = c^2
x^2 + x^2 = (2r)^2
2x^2 = 4r^2
x^2 = 2r^2 ... divide both sides by 2
x = sqrt(2r^2) ... apply the square root to both sides; keep in mind that x > 0
x = sqrt(r^2*2)
x = sqrt(r^2)*sqrt(2)
x = r*sqrt(2)
The side length of the square is r*sqrt(2)
Therefore, the area of the square is
Area = (side)*(side)
Area = ( r*sqrt(2) )*( r*sqrt(2) )
Area = r*r * sqrt(2)*sqrt(2)
Area = r^2 * sqrt(2*2)
Area = r^2 * sqrt(4)
Area = r^2 * 2
Area = 2r^2
The length of arcXY is 48cm. What is the circumference of circle Z?
Answer:
C
Step-by-step explanation:
In any circle the following ratios are always equal.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{centralangle}{360}[/tex] , thus
[tex]\frac{48}{circum}[/tex] = [tex]\frac{60}{360}[/tex] = [tex]\frac{1}{6}[/tex] ( cross- multiply )
circumference = 6 × 48 = 288 cm → C
Unit test Problem Becky tried to evaluate an expression step by step. \quad\begin{aligned} &\dfrac{4}{5} +7 -\dfrac{5}{4}\\\\ \\ =&\dfrac{4}{5} -\dfrac{5}{4}+7&\green{\text{Step } 1} \\\\ \\ \\ =&0+7&\blue{\text{Step } 2}\\\\ \\ \\ =&7&\purple{\text{Step } 3} \\\\ \\ \\ \end{aligned} = = = 5 4 +7− 4 5 5 4 − 4 5 +7 0+7 7 Step 1 Step 2 Step 3 Find Becky's mistake.
Answer:
Becky's mistake was that she said [tex]\frac{4}{5} - \frac{5}{4} = 0[/tex], while it's actually equal to [tex]-\frac{9}{4}[/tex].
Step-by-step explanation:
[tex]\quad\begin{aligned} &\dfrac{4}{5} +7 -\dfrac{5}{4}\\\\ \\ =&\dfrac{4}{5} -\dfrac{5}{4}+7&\green{\text{Step } 1} \\\\ \\ \\ =&0+7&\blue{\text{Step } 2}\\\\ \\ \\ =&7&\purple{\text{Step } 3} \\\\ \\ \\ \end{aligned}[/tex]
Step 1 looks fine as she just rearranged the equation, keeping the negatives and positives right.
Step 2 is where she said that [tex]\frac{4}{5} - \frac{5}{4} = 0[/tex]. This would only be true if we were multiplying one of the numbers by 0. So Step 2 was wrong.
Step 3 is right, as 0+7 = 7.
Hope this helped!
Answer:
step 2 is wrong
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the nearest
tenth.
30
х
22°
Answer:
x=74.3
Step-by-step explanation:
tan 22= opp/adj
tan 22=30/x
x=30/tan 22
x=30/0.40402=74.3 unit
Answer:
x = 74.3 to the nearest tenthStep-by-step explanation:
In order to solve for x we use tan
tan ∅ = opposite / adjacent
From the question
x is the adjacent
30 is the opposite
So we have
tan 22 = 30/x
x = 30/tan 22
x = 74.25260
x = 74.3 to the nearest tenthHope this helps you
Express the equation y= x² + 10x +30 in the form y= a(x - h)² +k
Answer:
[tex]\large \boxed{\sf \ \ y=(x+5)^2+5 \ \ }[/tex]
Step-by-step explanation:
Hello, please find my work below.
[tex]y=x^2+10x+30\\\\\text{*** We can notice that ***}\\\\\text{*** } x^2+10x = x^2+2\cdot 5 \cdot x=(x+5)^2-5^2=(x+5)^2-25\\\\y=x^2+10x+30=(x+5)^2-25+30=(x+5)^2+5\\\\[/tex]
a = 1
h = -5
k = 5
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Simplify
[tex]\ \textless \ br /\ \textgreater \ \sqrt[4]{16a^- 12}\ \textless \ br /\ \textgreater \ [/tex]
Answer:
[tex]\huge\boxed{\sqrt[4]{16a^{-12}}=2a^{-3}=\dfrac{2}{a^3}}[/tex]
Step-by-step explanation:
[tex]16=2^4\\\\a^{-12}=a^{(-3)(4)}=\left(a^{-3}\right)^4\qquad\text{used}\ (a^n)^m=a^{nm}\\\\\sqrt[4]{16a^{-12}}=\bigg(16a^{-12}\bigg)^\frac{1}{4}\qquad\text{used}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\bigg(2^4(a^{-3})^4\bigg)^\frac{1}{4}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\bigg(2^4\bigg)^\frac{1}{4}\bigg[(a^{-3})^4\bigg]^\frac{1}{4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^{(4)(\frac{1}{4})}(a^{-3})^{(4)(\frac{1}{4})}=2^1(a^{-3})^1=2a^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}[/tex]
[tex]=2\left(\dfrac{1}{a^3}\right)=\dfrac{2}{a^3}[/tex]
W′X′Y′Z′ is a dilation image of WXYZ. Which is the correct description of the dilation?
Answer:
D. A reduction with a scale factor of [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
We know for sure it is a reduction because the image, W'X'Y'Z', is smaller than the pre-image WXYZ. Because it is a reduction, the scale factor must be less than 1, so the only option can be D. Both B and C say enlargement and A says it is a scale factor of 2.
Hope this helps and I am sorry no one has answered your question until now.
I will be happy to answer any of your other questions if you want.
Have a good day! :)
determine (a) the volume and (b) the surface area of the three-dimensional figure. when appropriate, use the pi key on your calculator.
a) the volume is _____
b) the surface area is ____
Step-by-step explanation:
The figure above is a cube since all it's sides are equal
Volume of a cube = l³
where l is the length of one side
From the question
l = 3yd
So the volume of the cube is
Volume = 3³
Volume = 3yd³
Surface area of a cube = l²
Surface area = 3²
= 9yd²
Hope this helps you
Which of the following is the concept illustrated with the misentered data? A. The procedure for constructing the confidence interval is not robust. The smaller the sample size, the less resistant the mean. Therefore, the confidence interval is more robust.
Answer:
B. Te procedure for constructing the confidence interval is robust. The larger the sample size, the more resistance the mean. Therefore, the confidence interval is more robust.
Step-by-step explanation:
Misentered data illustrates the concept that if the sample size is larger it will be more resistance to mean. This means confidence interval is more robust. In statistics, robust is a modification of confidence interval. It refers to strength of statistical model. Robust statistics is resistant to errors in statistical model.
The biomass B(t) of a fishery is the total mass of the members of the fish population at time t. It is the product of the number of individuals N(t) in the population and the average mass M(t) of a fish at time t. In the case of guppies, breeding occurs continually. Suppose that at time t = 5 weeks the population is 824 guppies and is growing at a rate of 50 guppies per week, while the average mass is 1.3 g and is increasing at a rate of 0.14 g/week. At what rate is the biomass increasing when t = 5? (Round your answer to one decimal place.) B'(5) = g/week
Answer:
The rate at which the biomass is increasing when t = 5 is 180.36 g/week
Step-by-step explanation:
Given that :
t = 5 weeks
Population N(t) = 824 guppies
Growth Rate [tex]\dfrac{dN(t)}{dt}= 50 \ guppies /week[/tex]
average mass M(t) = 1.3 g
increase rate of biomass [tex]\dfrac{dM (t)}{t}[/tex]= 0.14 g/week
Therefore; the rate at which the biomass is increasing when t = 5 is:
[tex]\dfrac{dB(t)}{dt}= M(t) * \dfrac{dN(t)}{dt}+ N(t)* \dfrac{dM (t)}{t}[/tex]
[tex]\dfrac{dB(t)}{dt}=1.3 * 50+ 824* 0.14[/tex]
[tex]\dfrac{dB(t)}{dt}=65+115.36[/tex]
[tex]\mathbf{\dfrac{dB(t)}{dt}=180.36 \ g/week}[/tex]
The rate at which the biomass is increasing when t = 5 is 180.36 g/week
The rate at which the biomass is increasing when t = 5 is 180.36 g/week
Calculation of the rate:Since time = 5 weeks, Population N(t) = 824 guppies, and growth rate = 50 guppies / week, average mass = 1.3g, and the increase rate of biomass is 0.14g/week
So,
[tex]= 1.3\times 50 + 824 \times 0.14[/tex]
= 65 + 115.36
= 180.35 g/weel
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Help me pLEASSSSE ! do it step by step so I can see how y'all do it.
Answer:
5
Step-by-step explanation:
Since y equals 200 + 10x and y also equals 5x, then
200 + 10x = 50x
Subtract 10x from both sides.
200 = 40x
Divide both sides by 40.
5 = x
Answer: He must sell 5 sculptures.
The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is –3. Which equations represent this situation? y = 2 x minus 3 and y = negative 2 x minus 3 y = 2 x minus 3 and y = negative one-half x minus three-halves y = 2 x + 3 and y = negative 2 x minus 3 y = 2 x + 3 and y = negative one-half x minus three-halves
Answer:
The answer is
y = 2x -3 and
y = -2x - 3
its y = 2x -3
y = -2x - 3
What is the value of log0.5^16
Answer:
-4.81647993062
Step-by-step explanation:
Look at the image below ↓
Based on the mathematical analysis, the value of log 0.5^16 is -4.816.
What are Logarithms?A logarithm is a mathematical term that is used to describe the exponent or power to which a base must be raised to yield a given number.
In this case, to calculate the value of log0.5^16 use logarithm properties.
rewrite the expression as log(0.5)^(16).
=> log(a^b) = b * log(a)
=> 16 * log(0.5).
Given that the Logarithm is the inverse of exponentiation => log(0.5) is equal to -0.301.
Substitute this value back into the expression:
16 * (-0.301) = -4.816.
Hence, in this case, it is concluded that the correct answer to the value of log 0.5^16 is -4.816.
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