Answer: 8/9
Step-by-step explanation: I got the answer right
Gillian earns $7.50 an hour babysitting on the weekends.Last week she babysat for 2.2 hours on Saturday and 3.5 hours on Sunday.How much did Gillian earn
Total hours= 2.2+3.5=5.7
Total earned = 5.7 x $7.50= $42.75
Evaluate cos(tan^-1 0)
Answer:
[tex]cos(tan^{-1}(0))=1[/tex]
Step-by-step explanation:
Evaluate cos(tan^-1 0)
[tex]cos(tan^{-1}(0))[/tex]
We know that tan(0)=0
tan (0 degree)=0
[tex]tan^{-1}(0)=0[/tex]
Replace it in our problem
[tex]cos(tan^{-1}(0))[/tex]
[tex]cos(0)[/tex]
At 0 degree the cos value is 1
So co(0)=1
[tex]cos(tan^{-1}(0))=1[/tex]
Answer:
the correct answer is 1
Help! I've been struggled on this for a loooong time!!
The value of 7 in 503,497 is what times the value of 7 in 26,475?
Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is__ . Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be__ .
Answer:
25,35
Step-by-step explanation:
Part A: There are five buttons in all in all in the given item. The item above can be answered through the fundamental principles of counting.
There are 5 items to choose from during the first pick. Because the shape can be returned and picked again, there are also 5 items to choose from in the second pick. Multiplying them,
n = 5 x 5 = 25
Therefore, the sample size for the compound event is equal to 25.
Part B: The same concept can be used in this part of the item; however, instead of 5 there are 6 buttons to choose from.
n = 6 x 6 = 36
Hence, the sample size of this picking process is 36.
Does it matter which way you subtract the values when finding distance explain?
No, as long as you remember that distance is awlays zero or positive.
A thief can travel 260 miles total with on tank of gas. Using only one tank of gas, what is the farthest city that the thief can reach? (4.5 cm = 150miles)
Break down each of these numbers into prime factors: 8, 45, 50, 150, 256, 500.
Plz help me, plz!!! I have to turn it in tommorrow!
Algebraic expression that best describes the sequence 2,4,8,16,32,...?
Answer:
Algebraic expression that best describes the sequence is:
[tex]2^{n}[/tex]
Step-by-step explanation:
We have the sequence 2, 4, 8, 16, 32,...?
With the Algebraic expression:
[tex]2^{n}[/tex] (1)
n is the number into the sequence that you want to find, we can prove it if we replace in the equation (1)
For example in the first term, n=1
[tex]2^{1}=2[/tex]
in the second term, n=2, and so on
[tex]2^{2}=4\\2^{3}=8\\2^{4}=16\\2^{5}=32\\2^{6}=64\\[/tex]
Consider 8x2 - 48x = -104. Write the equation so that a = 1
Answer:
x² + (-6x) = -13
ALSO the second answer,
x² + (-6x) __ = -13 + __
Both blanks are 9
Third answer, factor the trinomial and simplify:
(x + -3 )²= -4
Use the square root property of equality to solve
(x – 3)2 = –4.
The solutions are
The correct option is C. 3 ± 2i.
:D
The equation 8x² - 48x = -104 can be rewritten with 'a' = 1 by dividing all terms by 8 and rearranging to the form ax² + bx + c = 0, yielding x² - 6x + 13 = 0.
Explanation:To rewrite the equation so that 'a' = 1, it would be useful to adjust the coefficients in your equation first. Starting with the given equation: 8x² - 48x = -104. We can divide all terms by 8 to normalize the 'a' coefficient.
Doing that gives us: x² - 6x = -13. Now, to write the equation in the form ax² + bx + c = 0, we can add 13 to both sides which results in: x² - 6x + 13 = 0. Now your equation is in the standard quadratic form with 'a' = 1.
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If 30% of John's photographs were perfect, but 210 photographs were not perfect, then how many photographs were there in all?
To find the total number of photographs, we use the fact that 30% were perfect, meaning 70% were not perfect. By setting up the equation 0.70x = 210, we can solve for x, finding that there were 300 photographs in total.
If 30% of John's photographs were perfect and 210 were not perfect, determining the total number of photographs involves understanding percentages and basic algebra. Here's the step-by-step breakdown of solving the problem:
Let's call the total number of photographs 'x'.Since 70% of the photographs are not perfect (as 30% are perfect), we know that 0.70x equals the number of not perfect photographs.We can set up the equation: 0.70x = 210.To find 'x', divide both sides of the equation by 0.70: x = 210 / 0.70.This gives us the total number of photographs, x = 300.Therefore, there were 300 photographs in total.
The total number of photographs is 300.
If 30% of John's photographs were perfect, it means that 70% were not perfect. Since 210 photographs were not perfect, we can set up an equation to find the total number of photographs. Let x represent the total number of photographs. We know that 70% of x equals 210:
[tex]\[ 0.70x = 210 \][/tex]
Solving this equation, we find that
[tex]\( x = \frac{210}{0.70} = 300 \)[/tex]
Therefore, there were 300 photographs in total. This calculation assumes that all photographs are either perfect or imperfect, with no other categories.
Find the coordinates of P so that P partitions the segment AB in the ratio 1:1 if A(13,1)A(13,1) and B(−5,−3)B(−5,−3)
The coordinates of point P that partitions the segment AB in the ratio 1:1 are (4, -1). The calculation is done using the segment partition formula.
Explanation:To solve this problem, we use the formula for finding the point that divides a line segment into a given ratio. The formula is P(x, y) = ((x1*m2 + x2*m1)/(m1+m2), (y1*m2 + y2*m1)/(m1+m2)). Here, points A and B are (13,1) and (-5,-3) respectively, and the ratio m1:m2 is 1:1.
So applying the formula, we have P(x, y) = ((13*1 + -5*1) / (1+1), (1*1 + -3*1) / (1+1)) = (8/2, -2/2) = (4, -1).
So, the coordinates of point P that partitions the segment AB in the ratio 1:1 are (4, -1).
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To find the coordinates of point P that bisects the segment AB in the ratio 1:1, we use the midpoint formula. Substituting the values of points A(13,1) and B(-5,-3) into the formula gives us P(4,-1).
Explanation:The student wants to find the coordinates of point P that would bisect the line segment AB in a 1:1 ratio. Since the ratio is 1:1, point P is the midpoint of the segment. To find the coordinates of the midpoint P, we need to calculate the average of the x-coordinates and the y-coordinates of points A and B.
Using the formula of a midpoint, M(x, y) = [ (x1+x2)/2 , (y1+y2)/2 ], let's substitute the coordinates of points A(13,1) and B(-5,-3).
P(x, y) = [ (13-5)/2 , (1-3)/2 ]
Therefore, the coordinates of point P that partitions the segment AB in the ratio 1:1 is P(4, -1).
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How many intersections are there of the graphs of the equations below? 1/2x + 5y = 6 3x + 30y = 36 none one two infinitely many
Answer:
D infinitely many
Step-by-step explanation:
They lines never cross
0.55555555555 As a fraction
Answer:
11/20
Step-by-step explanation:
plz help and thank you!
The answer to your question is the third option:
1/2(n+4) = 5/n - 3
900 is 1/10 of what
(I NEED THIS ASAP PLEASE)Jermaine knows that QRS and FGH each have two sides that are 9 mm long. What statement best describes the two triangles?
1)The two triangles are congruent because there are two pairs of congruent corresponding sides.
2)The two triangles are congruent because both triangles are isosceles with 9 mm sides.
3)The two triangles may be congruent, but additional measurements are needed.
4)The two triangles may be congruent, but additional information is needed about the orientation of the figures.
Answer:
(C)The two triangles may be congruent, but additional measurements are needed.
Step-by-step explanation:
It is given that QRS and FGH each have two sides that are 9 mm long that is QR=QS=9mm and FG=FH=9mm.
Thus, both the triangles that are QRS and FGH becomes the isosceles triangles.
Now, in order to prove that ΔQRS≅ΔFGH, we require more measurements as congruency can be proved only by SAS, SSS, ASA or AAA that is by using all the three sides of triangle or by using two sides one angle or by using two angles and one side or by using all the three angles.
Therefore, we need remaining side or angle in order to prove that ΔQRS is congruent to ΔFGH.
Hence, option (C) is correct.
Solve the equation. X/8+12=16
Answer x= 32
Imagine math
PLease ANSWER
You get 30 points
On your math quiz, you earn 5 points for each question that you answer correctly. In the table below, x represents the number of questions that you answer correctly on your math quiz, and y represents the total number of points that you score on your quiz. The relationship between these two variables can be expressed by the following equation: y=5x. Suppose you answer 40 questions correctly on your math quiz.
April wants to multiply 6 and 42 using the distributive property. Which of the following number sentences shows how she could do it?
6 × 42 = 42 × 6
6 × (40 + 2) = (6 × 40) + 2
(6 × 42) × 1 = 6 × (42 × 1)
6 × (40 + 2) = (6 × 40) + (6 × 2)
Final answer:
To multiply 6 and 42 using the distributive property, you break down 42 into 40 and 2, then multiply each part by 6 and add them together to get 252.
Explanation:
The distributive property in mathematics allows us to multiply a sum by multiplying each addend separately and then adding the products. April wants to multiply 6 by 42 using the distributive property. The correct way to do this using the distributive property is to break down 42 into 40 and 2, then multiply each by 6 and add the results. Therefore, the correct number sentence using the distributive property is:
6 × (40 + 2) = (6 × 40) + (6 × 2)
This simplifies to:
(6 × 40) + (6 × 2) = 240 + 12 = 252
So, 6 × 42 equals 252 when applied through distributive property.
How many two-digit numbers satisfy the following property: the last digit (units digit ) of the
square of the two-digit number is 8?
a cube is a three-dimensional solid with a square faces find the total surface area of a cube whose edges are each five feet in length
A phane takes off at an angle of elevation of 15 ° and travels in a straight line for 3,000 meters. What is the height of plane above the ground at this instant ?
Final answer:
The height of the plane above the ground after traveling 3,000 meters at a 15° angle of elevation is approximately 776.4 meters. This is calculated using the sine function: height = 3,000 m × sin(15°).
Explanation:
To find the height of the plane above the ground after taking off at an angle of elevation of 15° and traveling for 3,000 meters, we can use trigonometric functions. Specifically, the sine function relates the opposite side of a right-angled triangle (in this case, the height above ground) to the hypotenuse (the distance traveled by the plane).
The sine of an angle in a right triangle is equal to the length of the opposite side divided by the length of the hypotenuse. The formula is:
height = hypotenuse × sin(angle)
Here, the hypotenuse is the distance traveled by the plane (3,000 m), and the angle is 15°. Thus, the calculation would be:
height = 3,000 m × sin(15°)
We can calculate the sine of 15° using a calculator.
height = 3,000 m × 0.2588 (approximately)
height = 776.4 m (approximately)
Therefore, the plane is approximately 776.4 meters above the ground.
an equilateral triangle has an altitude of 2√3in. and a perimeter of 12 in. what is the area of the triangle?
Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny.
x − 0.07x = 45; $48.39
0.7x = 45; x = $64.29
7x = 45; x = $6.43
x + 0.07x = 45; x = $42.06
tax gets added to the price of the camera
so the equation is:
x + 0.07x = 45; x = $42.06
There is 16 pink stripes and green stripes. Find the ratio o pink stripes to green stripes
Which of the following side measurements could make an equilateral triangle and isosceles triangle?
A.12, 12, 14
B. 4, 5, 6
C. 2, 2, 2
D. 2, 2, 4
Answer:2,2,2
Step-by-step explanation: I just took the test and got it right.
A circle is centered at the point (-3,2) and passes through the point (1,5). What's the radius
radius = square root (( x2-x1)^2 +(y2-y1)^2)
= sqrt(1-(-3)^2+(5-2)^2
= sqrt(16+9)
=sqrt(25)
= 5
radius is 5
The radius of the circle is [tex]\boxed{5{\text{ units}}}.[/tex]
Further explanation:
The standard equationof the circle with center [tex]\left( {h,k}\right)[/tex] and radius r can be expressed as,
[tex]{\left( {x - h}\right)^2} + {\left({y - k} \right)^2}= {r^2}.[/tex]
Given:
A circle with center at [tex]\left({ - 3,2} \right).[/tex]
The passing through point is [tex]\left( {1,5} \right).[/tex]
Explanation:
The center is at [tex]\left( { - 3,2} \right).[/tex]
The passing through point is [tex]\left( {1,5} \right)[/tex]. Therefore, the point satisfies the equation of circle.
Substitute 1 for x, 5 for y, -3 for h and 2 for k in general equation of the circle to obtain the radius of circle.
[tex]\begin{aligned}{\left( {x - h}\right)^2}+{\left({y - k}\right)^2}&={r^2}\\{\left( {1 + 3} \right)^2} + {\left( {5 - 2}\right)^2}&= {r^2}\\16 + 9&= {r^2}\\\sqrt{25}&= r\\5&= r\\\end{aligned}[/tex]
The radius of the circle is [tex]\boxed{5{\text{ units}}}.[/tex]
The radius of the circle is [tex]\boxed{5{\text{ units}}}.[/tex]
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Circle
Keywords: Circle, centered point, (-3,2), passes point (1,5), standard form of the circle, equation of the circle, center, diameter of circle, radius of the circle,center-radius form, general equation of circle, tangent, area of circle.
The next even integer that is larger than 2n, if 2n is an even integer.
Rachel wants to paint her cupboard. The length of the cupboard is 2.5 meters, its width is 1 meter, and its height is 2 meters. How much area will she need to paint if she paints both the bases and all the lateral faces?
Answer:
the answer is 10 m2
Step-by-step explanation: