Answer:
I won't give you the answer straight away so you take the time to read my answer and understand
Step-by-step explanation:
We knoe that 2 to the third is 8. when you square to a negative power, you do squaring normally, and then take the reciprocal of that number. so 8 to the second power is 64, and we flip it over, sp the answer is 1/64
Nicole makes $9.50 per hour working at an electronics company. She plans to buy a hand-held computer, the least expensive of which costs $245.60 and the most expensive of which costs $368.40. Write and solve an inequality describing how long Nicole will have to work to be able to buy a hand-held computer.
Please give me steps on how to solve this problem. THANK YOU.
Answer:
26 ≤ x ≤ 39 where x is # of hours
Step-by-step explanation:
If we call the number of hours she works x, Nicole will have made 9.50x after x hours. Therefore, we can write the following compound inequality:
245.60 ≤ 9.50x ≤ 368.40 (Note that we use ≤ instead of <; "at least/most" is denoted by ≤ or ≥)
Dividing the entire inequality by 9.50 (to get rid of the coefficient on x, we get about 26 ≤ x ≤ 39. We round up to the nearest integer because you can't really have, say, 25.69 hours in this context, you would have 26.
A regular admission for a movie is k8 per ticket seniors only pay k6 per ticket if the revenue for a movie totaled k1440 for an audience of 190 how many seniors attended?
Answer:
Step-by-step explanation: wjbsgstexrczlkcidgxtftwdcwdkfmw,d,f
Prove that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures.
Answer:
The first way to prove that the diagonals of a rectangle are congruent is to show that triangle ABC is congruent to triangle DCB
Here is what is given: Rectangle ABCD
Here is what you need to prove: segment AC ≅ segment BD
Since ABCD is a rectangle, it is also a parallelogram.
Since ABCD is a parallelogram, segment AB ≅ segment DC because opposite sides of a parallelogram are congruent.
How does the graph of g(x) = (x + 2)3 − 7 compare to the parent function of f(x) = x3? g(x) is shifted 2 units to the right and 7 units down. g(x) is shifted 7 units to the right and 2 units up. g(x) is shifted 2 units to the left and 7 units down. g(x) is shifted 7 units to the left and 2 units down
Answer: g(x) is shifted 2 units to the left and 7 units down.
Step-by-step explanation:
The original function f(x) becomes f(x+c), if it is shifted c units to the left.The original function f(x) becomes f(x-c), if it is shifted c units to the right.Also, if it is shifted d units down, then the function becomes f(x)-d.If it is shifted d units up, then the function becomes f(x)+d.Here, if we compare the graph of [tex]g(x) = (x + 2)^3 -7[/tex] compare to the parent function of [tex]f(x) = x^3[/tex].
We can observe that f(x) is shifted 2 units to the left and 7 units down.
So, the correct statement is "g(x) is shifted 2 units to the left and 7 units down".
Answer:
g(x) is shifted 2 units to the left and 7 units down.
Step-by-step explanation:
I took it and got it correct.
help me please i jave 10 min left HELP
Answer:
Option (A).
Step-by-step explanation:
[tex]8\frac{4}{5}[/tex] is a mixed fraction and can be written as,
[tex]8\frac{4}{5}=8+\frac{4}{5}[/tex] [Combination of a whole number and a fraction]
When we multiply this mixed fraction by 7,
[tex]7\times 8\frac{4}{5}=7\times (8+\frac{4}{5})[/tex]
[tex]=(7\times 8)+(7\times \frac{4}{5})[/tex] [Distributive property → a(b + c) = a×b + a×c]
[tex]=56+\frac{28}{5}[/tex]
[tex]=56+5\frac{3}{5}[/tex]
[tex]=56+5+\frac{3}{5}[/tex]
[tex]=61+\frac{3}{5}[/tex]
[tex]=61\frac{3}{5}[/tex]
Therefore, [tex]7\times 8\frac{4}{5}=61\frac{3}{5}[/tex] will be the answer.
Option (A) will be the correct option.
Someone help quick!!!
The diagram shows several points and lines. Which statements are true based on the diagram? Select two options.
A. Points K, M, and N are collinear
B. Points J, K, and Q are collinear
C. Points are is the intersection of the line KN and the line MQ
D. Find JQ, KM, and MQ all
intersect at point K
E. There is only one line that can be drawn through points L and P
Answer:
B, E
Step-by-step explanation:
J, K, Q are all on the same line: collinear
You can draw only one line through L and P
Answer:
b,e
Step-by-step explanation:
e2020
4 + h ≤ 7 and h + 1 > 3 What is the value of the unknown number, h?
Answer:
2 < h <= 3
Step-by-step explanation:
4 + h <= 7
h <= 3 (subtract 4 on both side)
h + 1 > 3
h > 2 (subtract 1 on both side)
So, 2 < h <= 3
Sophia‘s favorite homemade cookie recipe requires one cup of chocolate chips for 10 servings if the number of cups required for multiple batches is proportional to the number of servings being made how many cups of chocolate chips will she need to make enough cookies for 30 servings
Answer:
3 cups
Step-by-step explanation:
We can use a proportion to find how many cups of chocolate chips she needs for 30 servings. Assuming c = cups of chocolate chips and b = batches
[tex]\frac{c}{b}[/tex]
[tex]\frac{1}{10} = \frac{c}{30}[/tex]
We can now multiply the diagonal values that don't include the missing variable (30 and 1) and then divide it by the value that is diagonal to the variable (10)
[tex]30 \cdot 1 = 30\\30 \div 10 = 3[/tex]
Therefore, she needs 3 cups of chocolate chips to make 30 servings.
Answer:
3 cups
Step-by-step explanation:
We can use ratios to solve
1 cup x cups
---------------- = ----------------
10 servings 30 servings
Using cross products
1*30 = 10x
Divide by 10
30/10 = x
3 =x
3 cups
224,112,56,28 what are the two next answers?
Answer:
14,7
Step-by-step explanation: if it is being divided by 2 it is 14 and 7
A medical researcher tested a new treatment for poison ivy against the traditional ointment. He concluded that the new treatment is more effective. Explain what P-Value of 0.047 means in this context.
Answer:
A p-value if 0.047(same as 4.7%) means there is a 4.7% chance that there is no difference in how effective the new treatment is.
Step-by-step explanation:
When we talk of a p-value, we are referring to a conditional probability. What it tells us is the probability of getting results which are at least as unusual as the observed statistics in a case where we are given that the null hypothesis is not false.
A p-value if 0.047(same as 4.7%) means there is a 4.7% chance that there is no difference in how effective the new treatment is.
So what this means is that, in this case it is better that more data is collected to enable us know how effective the new treatment is
Solve by the quadratic formula: x^2= 6x-4
Answer:
3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex].
Step-by-step explanation:
x^2 = 6x - 4
x^2 - 6x + 4 = 0
Now, we can use the quadratic formula to solve.
[tex]\frac{-b\pm\sqrt{b^2 - 4ac} }{2a}[/tex], where a = 1, b = -6, and c = 4.
[tex]\frac{-(-6)\pm\sqrt{(-6)^2 - 4 * 1 * 4} }{2 * 1}[/tex]
= [tex]\frac{6\pm\sqrt{36 - 4 * 4} }{2}[/tex]
= [tex]\frac{6\pm\sqrt{36 - 16} }{2}[/tex]
= [tex]\frac{6\pm\sqrt{20} }{2}[/tex]
= [tex]\frac{6\pm2\sqrt{5} }{2}[/tex]
= 3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex]
x = 3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex].
Hope this helps!
If the lengths of the legs of a right triangle are 3 and 10, what is the length of the hypotenuse?
Answer:
a = √109 or 10.44Step-by-step explanation:
To find the hypotenuse we use Pythagoras theorem which is given by
a² = b² + c²
where a is the hypotenuse
So we have
a² = 10² + 3²
a² = 100 + 9
a² = 109
a = √109 or 10.44Hope this helps you
Answer:
10.4
Step-by-step explanation:
Use the property of equality to solve this equation 4.5x=18
Answer:
x = 4
Step-by-step explanation:
Given
4.5x = 18 ( divide both sides by 4.5 )
x = 4
Answer:
x=4
Step-by-step explanation:
to isolate x, we need to divide both sides by 4.5, and 18/4.5 is equal to 4, so x=4.
Find the perimeter of a square with a diagonal of 15√2.
Answer:
15
Step-by-step explanation:
Answer:
21.213
Step-by-step explanation:
Plz write this on paper help me and send it❤️
Answer:
1. [tex]27^{\frac{2}{3} } =9[/tex]
2. [tex]\sqrt{36^{3} } =216[/tex]
3. [tex](-243)^{\frac{3}{5} } =-27[/tex]
4. [tex]40^{\frac{2}{3}}=4\sqrt[3]{25} =4325[/tex]
5. Step 4: [tex](\frac{343}{27}) ^{-1} =\frac{27}{343}[/tex]
6. [tex]D. -72cd^{7}[/tex]
Step-by-step explanation:
Use the following properties:
[tex]a^{\frac{x}{y} } =\sqrt[x]{a^{y} }[/tex]
[tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex]
[tex]a^{-n} =\frac{1}{a^{n} }[/tex]
[tex](xy)^{z} =x^{z} y^{z} \\\\[/tex]
[tex](x^{y}) ^{z} =x^{yz}[/tex]
[tex]x^{y} x^{z} =x^{y+z}[/tex]
So:
1. [tex]27^{\frac{2}{3} } =\sqrt[3]{27^{2}} =\sqrt[3]{729} }=9[/tex]
2. [tex]\sqrt{36^{3} } =\sqrt{36*36*36} =\sqrt{36} \sqrt{36} \sqrt{36} =6*6*6=216[/tex]
3. [tex](-243)^{\frac{3}{5} } =\sqrt[5]{-243^{3} } =\sqrt[5]{-14348907} =-27[/tex]
4. [tex]40^{\frac{2}{3}}=\sqrt[3]{40^{2} } =\sqrt[3]{2^{6} 5^{2} } =\sqrt[3]{2^{6} } \sqrt[3]{5^{2} } =2^{\frac{6}{3} } 5^{\frac{2}{3} } =4 *5^{\frac{2}{3} } =4\sqrt[3]{5^{2} } =4\sqrt[3]{25}=4325[/tex]
5. [tex](\frac{343}{27}) ^{-1} =\frac{1}{\frac{343}{27} } =\frac{27}{343}[/tex]
6.
[tex](-8c^{9} d^{-3} )^{\frac{1}{3} } *(6c^{-1}d^{4})^{2} =\sqrt[3]{-8} c^{3} d^{-1} 36c^{-2} d^{8} \\\\-2c^{3} d^{-1} 36c^{-2} d^{8}=-72cd^{7}[/tex]
Find the coordinates for the equation.
{y=-x^2+5
{-x+y=3
Answer:
I hope you will get help from these...
If (Fx) = Square root 4x+9+ 2, which inequality can be used to find the domain of f(x)?
A.Square root 4x is greater than or equal to zero
B.4x +9 is greater than or equal to 0
C. 4x is greater than or equal to 0
D.Square root 4x+9 +2 is greater than or equal to 0
Answer:
Third one 4x+9
Step-by-step explanation:
We khow that any any real number inside the root should be positive
Our root is [tex]\sqrt{4x+9}[/tex]4x+9 shoul be positive wich can be expressed mathematically by:
4x+9≥0
What is the discriminant of 9x^2+2=10x
Answer:
28.
Step-by-step explanation:
9x^2 + 2 = 10x
9x^2 - 10x + 2 = 0
The discriminant is b^2 - 4ac.
In this case, a = 9, b = -10, and c = 2.
(-10)^2 - 4 * 9 * 2
= 100 - 36 * 2
= 100 - 72
= 28.
Since the discriminant is positive, there are two real solutions to the function.
Hope this helps!
5/16 = 15/18 is proportion
Answer:
False
Step-by-step explanation:
In a proportion, the two fractions are equal. Here the denominators are different for the same numerator, so the fractions are not equal. The given expression is not a proportion.
John is planning a party. There are 28 pieces of carrot cake and 7 pieces of marble cake. He wants to create plates with the same number of each type of cake. What is the greatest number of plates he can create?
Answer:
Hey there!
He can create 7 plates at most, with one carrot cake and one marble cake on each plate.
Hope this helps :)
Which set of ordered pairs represents a function?
{(-3,4), (-7,2), (-7,-4),(-9, -5)}
{(-2,4), (0,5),(-9,9),(-9,7)}
{(-4,-6), (-7, -5),(-4,-7), (1,1)}
{(5,-2), (-8,-6),(4, -2), (-6,3)}
Answer:
The correct answer is D.
Step-by-step explanation:
A function is when an input value has only one output value.
It cannot be A, because -7 produces both 2 and -4.
It cannot be B, because -9 produces both 9 and 7.
It cannot be C, because -4 produces both -6 and -7.
Therefore, it has to be D.
Please help me with this math problem
Answer:
E. y = 2/3x
Step-by-step explanation:
You need to make an equation in slope-intercept form.
First, you need to find the slope. You can do this by taking two points and dividing the difference of the y's by the difference of the x's. I will use the first two points, but you can pick whichever points you want and still get the right answer. Also, the values in the left column will be x's, and the values in the right column will be y's.
8 - 2 = 6
12 - 3 = 9
6/9 = 2/3
The slope is 2/3. The only equation with this value is E.
A company can make 12 printing presses for $78,600. It can make 19 printing presses for $82,380. Find the linear equation that models the cost to produce x printing presses. Use slope-intercept form
Answer:
[tex]C(x) = 540x + 72120[/tex]
Step-by-step explanation:
Given
Cost = $78,600 when Printing Press = 12
Cost = $82,380 when Printing Press = 19
Required
Determine the linear equation
From the given parameters; Cost is a function of Printing Press
Represent Cost by C and Printing press by x;
This implies that C = f(x)
The given parameters can then be modeled as; [tex](x, C)[/tex]
[tex](x_1, C_1) = (12,78600)[/tex]
[tex](x_2, C_2) = (19,82380)[/tex]
The first step is to calculate the slope, m;
[tex]m = \frac{C_1 - C_2}{x_1 - x_2}[/tex]
[tex]m = \frac{78600 - 82380}{12 - 19}[/tex]
[tex]m = \frac{-3780}{-7}[/tex]
[tex]m = 540[/tex]
The linear equation can then be calculated using slope formula
[tex]m = \frac{C- C_2}{x - x_2}[/tex]
Substitute 540 for m and [tex](x_2, C_2) = (19,82380)[/tex]
[tex]540 = \frac{C- 82380}{x - 19}[/tex]
Multiply both sides by x - 19
[tex]540 * (x-19)= \frac{C- 82380}{x - 19} * (x-19)[/tex]
[tex]540 * (x-19)= C- 82380[/tex]
Open bracket
[tex]540x - 10260 = C - 82380[/tex]
Add 82380 to both sides
[tex]540x - 10260 + 82380= C - 82380 + 82380[/tex]
[tex]540x - 10260 + 82380= C[/tex]
[tex]540x + 72120= C[/tex]
[tex]C = 540x + 72120[/tex]
Hence;
[tex]C(x) = 540x + 72120[/tex]
Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown below: Gymnastic Scores Score Number of Students 0 1 1 1 2 2 3 6 4 4 5 3 6 2 Based on the table, what is the mean gymnastic score? 2.5 3.5 5.2 9.4
Answer:
3.5
Step-by-step explanation:
I did the test, also, take the people multiply by score, u get 66 total, divided by 19=number of students, is 3.5-ish
The mean for gymnastic score is, 3.5
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown in table.
Now, We get;
The mean for gymnastic score is,
= ((1×0)+(1×1)+(2×2)+(6×3)+(4×4)+(3×5)+(2×6)) / 19
= 3.47
= 3.5
Thus, The mean for gymnastic score is, 3.5
Learn more about the addition visit:
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An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 15,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. A right triangle B N O is shown with angle B marked 55 degrees, side B N marked x and side B O marked 15000 feet.
Answer:
x = 18311.61 m
Step-by-step explanation:
It is given that, An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. The distance from the observer (O) to the bird (B) is 15,000 ft. We need to find the distance between the bird and the nest. It is based on trigonometry. So,
[tex]\sin (35)=\dfrac{\text{opposite}}{\text{hypotenuse}}[/tex]
Let x is the distance between the bird and the nest
So,
[tex]\sin (55)=\dfrac{15000}{x}\\\\x=\dfrac{15000}{ \sin(55)} \\\\x=18311.61\ m[/tex]
So, the distance between the bird and the nest is 18311.61 m.
Answer:
8,604
Step-by-step explanation:
Lines m and n are parallel. Which of the other 5 named angles have a measure of 110°?
Which of these are true?
Answer:
<2, <5
Step-by-step explanation:
<2 is a vertical angle so it is equal to 110
<5 is a corresponding angle and since the lines are parallel it is also equal to 110
Triangle DEF is the image of triangle ABC after a sequence of transformations. After you reflect ABC in the y-axis, what must you do? Describe a sequence of transformations that proves the triangles congruent.
Answer:
Step-by-step explanation:
After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.
ABC and DEF are congruent due to the following common properties of reflections and translations.
1. does not change the nature of geometric elements, i.e. maps a line to a line, a segment to a segment, etc.
2. preserve lenths of segments.
3. preserves angles
By the congruent theorem of SSS, the two triangles are congruent.
The sequence of transformations that proves the triangles congruent is explained in the solution below.
What is transformation?The geometric transformation is a bijection of a set that has a geometric structure by itself or another set. If a shape is transformed, its appearance is changed.
After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.
ABC and DEF are congruent due to the following common properties of reflections and translations.
It does not change the nature of geometric elements, i.e. maps a line to a line, a segment to a segment, etc., preserve lengths of segments, and preserves angles.
By the congruent theorem of SSS, the two triangles are congruent.
Learn more about transformation, click;
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Plzzzzz Help I really need help
A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5
Answer:
(1.5,-3) and (4.5,-3)
Step-by-step explanation:
What type of triangle has side lengths 9, 10and 130‾‾‾‾√
Answer:
Step-by-step explanation:
Triangle is an example of a polygon with three sides. The types of triangle we have are the equilateral, isosceles, scalene and right angled triangle.
An equilateral triangle is a triangle that has all its 3 sides and angles equal.
An isosceles triangle is a triangle that has two of its sides and angles equal.
A scalene triangle is a triangle that has none of its sides and angles to be equal.
According to the question, we are given a triangle of lengths 9, 10 and 130. It is seen that all the length of each sides of the triangle is different, this makes it a scalene triangle.
if paul and Steve are the same height and they are both correct write and equationto represent this relationship put puals expresiion on the left side of the equal sign and steves expression on the right
Answer:
Paul=Steve
Step-by-step explanation:
Answer:
The expression that represents Paul’s height in inches is 3/4t - 16. The expression that represents Steve’s height in inches is 4/3t - 6. Paul and Steve are the same height, so the equation that represents this relationship is
3/2t - 16 = 4/3t - 6
( PLATO/EDMENTUM ANSWER)
