Answer:
24
Step-by-step explanation:
3t⁶ × 8(t^-6)
3 × 8 × t⁶ × t^-6
24 × t^(6-6)
24 × t⁰
24 × 1
24
QUESTION 4
The histogram shows the heights of women on Leticia's basketball team which statement is best supported by this histog
Heights of Girls on Leticia's Team
A. No player is shorter than 63 inches
B. Seven players are taller than 63 inches
D. Three players are 68 inches tall
B. Most players are taller than 68 inches
Answer:
B
Step-by-step explanation:
Only B is correct bc if u count the amount of blocks (people) that r above 63 inches that would only be the red and purple ones.
The blue blocks r 63 in and below, so u dont count them
4 red blocks + 3 purple= 7 players
WILL MARK BRAINIEST Find the slope from the table in the picture.
A.
50
B.
25
C.
1/25
D.
1/50
Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers?
–23
–5
9
14
Answer:
-23
Step-by-step explanation:
-23 is the answer
The sum of the two integers if they are 5 units apart on the number line, and their product is 126 is -23
System of equationsSystem of equations are equations that contain unknown variables with more than 1 equation.
Let the required integers be x and y.
If two negative integers are 5 units apart on the number line, then;
x - y = 5
x = 5 + y
If their product is 126, hence:
x y = 126
Substitute
5+y(y) = 126
5y + y^2 = 126
y^2 + 5y - 126 = 0
Factorize
y^2 + 14y - 9y - 126 = 0
y(y + 14) - 9(y + 14) = 0
y = 9 and - 14
Since the integers are negative, hence;
x = 5 + y
x = 5 - 14
x = -9
Sum = -14 + (-9)
sum = -23
Hence the sum of the two integers is -23
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Find the sample size that produces the margin of error ±4.0
a.325
b.25
c.16
d.625
The question asks for the sample size that gives a margin of error of ±4.0. Without information on the z-score or standard deviation, it's not possible to accurately answer this question based on these values which are crucial for correctly calculating the sample size.
Explanation:The question is asking for the sample size that would produce a margin of error of ±4.0. The margin of error (E) is calculated using the formula E=Z *(σ/√n), where Z is the z-score, σ is the population standard deviation, and n is the sample size. Without information about the z-score or standard deviation, it isn't possible to sufficiently answer this question based just on these choices. These values are vital for a proper calculation of the sample size.
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the width of a rectangle is 6 units less than the the length. The area of a rectangle is 7 units. What is the length of the rectangle.
Answer:
Length: 7 units
Width: 1 unit
Step-by-step explanation:
The length of rectangle is 7 units.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the length of rectangle be x.
Then, width of the rectangle = x - 6
Also, Area of rectangle = 7 units
So, length x width = 7
x(x- 6)= 7
x² - 6x = 7
x² -6x -7 =0
x² -7x + x - 7=0
x( x- 7) +1 (x- 7)= 0
(x+ 1)(x- 7)=0
x= -1 or 7.
Hence, the length of rectangle is 7 units.
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what is the y intercept of the line y= 4x - 10?
Answer:
-10
Step-by-step explanation:
in the equation y=mx+b, b represents your y-intercept
The y-intercept of the line y = 4x - 10 is -10.
Explanation:The y-intercept of the line y = 4x - 10 can be found by looking at the equation's form, which is in the slope-intercept form y = mx + b. In this form, m represents the slope and b represents the y-intercept. So, the y-intercept of the given line is -10.
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A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other. Each cracker measures 2 inches in length by One and one-half inches in width. The volume of the column is 15 inches cubed. If there are 40 crackers in the column, what is the height of each individual cracker?
Answer: 1/8 inch
Step-by-step explanation: just got it
Answer:
1/8 inches
Step-by-step explanation:
y=10x
Select the answer showing the ratio x:y
Answer:
a
Step-by-step explanation:
im not sure how to explain but hope this helps
What is the remainder when (5y^4-23y^3+24y^2-7) divided by (y-3)
Answer:9
Step-by-step explanation:
The answer is jus 9 take the answer
a charity organization is holding a benefit event. it receives $28,000 in donations and $225 for each ticket sold foe the event .what equation models the total amount earned from the event as a function of the numbers of tickets sold?
Answer:
y = 225x + 28,000 (please give branliest)
Step-by-step explanation:
X = amount of tickets
Solve (x-3)^2=5
Give your solutions correct to 3 significant figures
Answer:
5.236
Step-by-step explanation:
Take the square root of 5 to get rid of the ^2
You are left with [tex]3 + \sqrt{5} = 5.236[/tex]
The value of x is 0.764 and 5.236
What is an Equation ?An equation is a mathematical statement that connects two algebraic expression with an equal sign.
The given equation is
(x-3) ² = 5
x² + 9 -6x = 5
x² -6x +4 = 0
The value of x is 0.764 and 5.236.
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Can someone help? Trigonometry
I need help please
What does 9(3-2x)=2(10-8x) equal to
Answer:
x=72 x = 7 2
Step-by-step explanation:
Answer:
x=7/2
Step-by-step explanation:
First, distribute the 9 on the left side
9(3-2x)=2(10-8x)
(9*3)+(9*-2x)= 2(10-8x)
27-18x= 2(10-8x)
Next, distribute the 2 on the right side
27-18x=(2*10)+(2*-8x)
27-18x=20-16x
Now, move all the numbers to one side of the equation, and the variables to the other.
27-18x=20-16x
Add 18x to both sides
27-18x+18x=20-16x+18x
27=20+2x
Subtract 20 from both sides
27-20=20-20+2x
7=2x
Now all the variables are on one side, and the numbers are on the other. x is still not by itself. It is being multiplied by 2. To undo this, divide both sides by 2
7/2=2x/2
7/2=x
What is the answer to
4n-5. ?
4n-5 is 4n-5 if you do not know the variable term for n If tou can figure out what the n term is just multiply that by 4
If X = 6 cm and Z = 10 cm, what is the length of Y?
To find the length of Y in a right triangle given X = 6 cm and Z = 10 cm, we can use the Pythagorean theorem. By substituting the values into the formula Y = √(X² + Z²), we find that the length of Y is approximately 11.66 cm.
Explanation:To find the length of Y, we can use the Pythagorean theorem. Since X and Z are the lengths of the legs of a right triangle, Y represents the length of the hypotenuse.
Using the formula: Y = √(X² + Z²), we can substitute the given values: Y = √(6² + 10²) = √(36 + 100) = √136 = 11.66 cm.
Therefore, the length of Y is approximately 11.66 cm.
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Examine the diagram. It is not drawn to scale.
What is the m3?
M3 =
Answer:
105°
Step-by-step explanation:
I did the test
Answer:
the answer is 105
Step-by-step explanation:
hope it helps you out a lot :)
7-11 mini-mart started a promotion where you can buy a refillable 40 oz. Soda for a one-time price $6.00, then fill the cup for $0.79 per year for a year or you can buy their filled disposable 32 oz. Soda cup for $1.69. How many sodas do you need to buy to make it work buying the refillable cup?
Answer:
7 cups of soda
Step-by-step explanation:
If we call the number of cups you buy by "x", we have that the price for the refillable cup P1 is:
P1 = 6 + 0.79*x
And the price for the other option is:
P2 = 1.69*x
To find how many sodas do you need to buy to make it work buying the refillable cup, you just need to equate the two prices and find the value of x:
P1 = P2
6 + 0.79*x = 1.69*x
0.9*x = 6
x = 6/0.9 = 6.6667 cups
So, you need to buy at least 7 cups of soda to make the refillable cup worth it.
Two times the sum of a number and 8 is twenty. What is the number?
Answer:
n=2
2(n+8)=20
2n+16=20
-16 -16
2n=4
/2 /2
n= 2
Hope this helps :)
The required value of n is 2.
We have to determine, two times the sum of a number and 8 is twenty. What is the number.
To obtain the number calculation must be done in a single unit;
Here,
Let the number be n,
And sum of number n and 8 is (n+8).
Therefore,
Two times sum of the number = 20
[tex]2 (n+8) = 20 \\\\2n + 2 \times8 = 20\\\\2n + 16 = 20\\\\2n = 20-16\\\\2n = 4 \\\\n = \dfrac{4}{2}\\\\n = 2[/tex]
Hence, The required value of n is 2.
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A ball is dropped from 45 feet above the ground. With each bounce, its max height is 80% of its previous height. What is the ball's height at the 14th step of progression? (Round to the nearest hundredths)
Answer: 1.98 ft
Step-by-step explanation: 45(.8)^14
In triangle ABC, AC = 8 cm and AB = 13.6 cm. Determine the sine ratio of angle B, rounded to the nearest thousandth. * a. 0.588 b. 0.728 c. 0.809 d. 1.375
Answer:
Option A) 0.588
Step-by-step explanation:
We are given the following in the question:
In triangle ABC
AC = 8 cm
AB = 13.6 cm
We have to find the sine ratio of angle B.
We define sine ratio of angle B as:
[tex]\sin B = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]
Putting values, we get,
[tex]\sin B = \dfrac{AC}{AB} = \dfrac{8}{13.6} = 0.588[/tex]
The attached image shows the triangle.
The correct ansqwer is
Option A) 0.588
Help please. Geometry question.
Answer:
[tex] volume = 2197 \pi~in.^3 \approx 6902.1~in.^3 [/tex]
Step-by-step explanation:
[tex] base~ area = 169 \pi~in.^2 [/tex]
The base of the cylinder is a circle.
The area of a circle is:
[tex] area = \pi r^2 [/tex]
We set the area equal to the formula and find the radius.
[tex] \pi r^2 = 169 \pi~in.^2 [/tex]
[tex]r^2 = 169~in.^2[/tex]
[tex]r = 13~in.[/tex]
The radius of the base is 13 inches. The height of the cylinder is also 13 inches.
[tex] volume = base~area \times height [/tex]
[tex]volume = 169 \pi~in.^2 \times 13~in.[/tex]
[tex] volume = 2197 \pi~in.^3 \approx 6902.1~in.^3 [/tex]
The solution to x - 8 > - 3
Answer: x > 5
Step-by-step explanation: To solve for x in this inequality, your goal is the same as it would be if you were solving an equation, to get x by itself on one side.
Since 8 is being subtracted from x, add
8 to both sides of the inequality.
On the left the -8 +8 cancels out
and on the right, -3 + 8 is 5.
So we have x > 5.
Jack bought w shares of Xerox for a total of t dollars. Write an expression for the price he paid per share.
Answer:
t/w
Step-by-step explanation:
you can divide the total of money by the total amount of shares to find the price of each share.
An expression for the price he paid per share is: t / w
How to solve Algebra Word problems?The expression for the price Jack paid per share of Xerox stock can be written as the total amount he spent divided by the number of shares purchased. Mathematically, this can be expressed as:
Price per share = Total amount spent / Number of shares purchased
In symbols, this can be represented as:
Price per share = t / w
Thus, we conclude that the price per share is t / w
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A person invests 5500 dollars in a bank. The bank pays 6.75% interest compound monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?
We have been given that a person invests 5500 dollars in a bank. The bank pays 6.75% interest compound monthly. We are asked to find the time that will take the amount to 13,200 dollars.
We will use compound interest formula to solve our given problem.
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
[tex]6.75\%=\frac{6.75}{100}=0.0675[/tex]
Upon substituting our given values in above formula, we will get:
[tex]13200=5500(1+\frac{0.0675}{12})^{12\cdot t}[/tex]
[tex]13200=5500(1+0.005625)^{12\cdot t}[/tex]
[tex]13200=5500(1.005625)^{12\cdot t}[/tex]
[tex]\frac{13200}{5500}=(1.005625)^{12\cdot t}[/tex]
[tex]2.4=(1.005625)^{12\cdot t}[/tex]
Now we will take natural log on both sides.
[tex]\text{ln}(2.4)=\text{ln}((1.005625)^{12\cdot t})[/tex]
Using natural log property [tex]\text{ln}(a^b)=b\cdot \text{ln}(a)[/tex], we will get:
[tex]\text{ln}(2.4)=12t\cdot \text{ln}(1.005625)[/tex]
[tex]t=\frac{\text{ln}(2.4)}{12\cdot \text{ln}(1.005625)}[/tex]
[tex]t=13.00635[/tex]
Upon rounding to nearest tenth, we will get:
[tex]t\approx 13.0[/tex]
Therefore, it will take approximately 13.0 years for the amount to reach $13200.
Which expressionis equivalent to 5x + 2 - x + 10?
Answer:
[tex]5x + 2 - x + 10 \\ 5x - x + 2 + 10 \\ 4x + 12 \\ = 4(x + 3)[/tex]
hope this helps you....
factor completely x^4+5x^3+4x+20
Answer:
Factoring completely would give you the answer of ( x+5) (x^3 +4).
Step-by-step explanation:
The factor are (x³ + 4) and (x + 5).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
[tex]x^4[/tex] + 5x³ + 4x + 20
We can find the common factor between [tex]x^4[/tex] and 5x³.
So,
x³ (x + 5) _____(1)
And,
We can find the common factor between 4x and 20.
So,
4 (x + 5) ______(2)
From (1) and (2),
x³ (x + 5) + 4 (x + 5)
= (x³ + 4) (x + 5)
Thus,
The factor are (x³ + 4) and (x + 5).
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Had x color pencils in her box and shares them equally with her friend, Talia. Her brother gives her 2 more color pencils. Janet now has 6 pencils in her box. How many color pencils did Janet originally have?
4 because
X=(6-2):2= 4:2= 2 color pencils for Janet and 2 color pencils for Talia= originally 4 pencils
PLEASE HELPPP!!!!
Name at least one way that the ocean impacts each of Earth’s four major systems. How does the ocean keep west coast cities cool during the summer?
Answer:
The ocean influences weather and climate by storing solar radiation, distributing heat and moisture around the globe, and driving weather systems.
One way that the world’s ocean affects weather and climate is by playing an important role in keeping our planet warm. The majority of radiation from the sun is absorbed by the ocean, particularly in tropical waters around the equator, where the ocean acts like a massive, heat-retaining solar panel. Land areas also absorb some sunlight, and the atmosphere helps to retain heat that would otherwise quickly radiate into space after sunset.
The ocean doesn't just store solar radiation; it also helps to distribute heat around the globe. When water molecules are heated, they exchange freely with the air in a process called evaporation. Ocean water is constantly evaporating, increasing the temperature and humidity of the surrounding air to form rain and storms that are then carried by trade winds. In fact, almost all rain that falls on land starts off in the ocean. The tropics are particularly rainy because heat absorption, and thus ocean evaporation, is highest in this area.
Outside of Earth’s equatorial areas, weather patterns are driven largely by ocean currents. Currents are movements of ocean water in a continuous flow, created largely by surface winds but also partly by temperature and salinity gradients, Earth’s rotation, and tides. Major current systems typically flow clockwise in the northern hemisphere and counterclockwise in the southern hemisphere, in circular patterns that often trace the coastlines.
Ocean currents act much like a conveyor belt, transporting warm water and precipitation from the equator toward the poles and cold water from the poles back to the tropics. Thus, ocean currents regulate global climate, helping to counteract the uneven distribution of solar radiation reaching Earth’s surface. Without currents in the ocean, regional temperatures would be more extreme—super hot at the equator and frigid toward the poles—and much less of Earth’s land would be habitable.
HOPE THIS HELPS!!! Brainliest PLEASE :)
Saffron
The ocean impacts Earth's four major systems in several ways. Here are some examples:
How ocean impacts the earth?Geosphere: The ocean is closely connected to the geosphere, as it plays a significant role in shaping the Earth's surface. Waves and currents erode coastlines and move sediment around, while underwater volcanic activity can create new landmasses and alter ocean chemistry.
Atmosphere: The ocean is an important component of the Earth's climate system, with ocean currents and temperatures influencing weather patterns and regulating the Earth's temperature. The ocean also absorbs carbon dioxide from the atmosphere, which helps to mitigate the effects of climate change.
Biosphere: The ocean supports a vast array of life, from microscopic plankton to massive whales. Marine ecosystems are interconnected with terrestrial ecosystems, with many species relying on the ocean for food and habitat.
Hydrosphere: The ocean is the largest component of the Earth's hydrosphere, and plays a critical role in the water cycle. Ocean currents and evaporation drive the movement of water around the planet, while the ocean stores vast amounts of water that can be released into the atmosphere through evaporation.
As for how the ocean keeps west coast cities cool during the summer, this is due to a phenomenon called coastal upwelling. As warm air rises over the land, it creates a low-pressure zone that draws in cool, moist air from the ocean.
This cool air can then be pushed inland by the sea breeze, providing relief from the summer heat. Additionally, the cold water that is brought to the surface during upwelling helps to cool the air near the coast.
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HELPPP ASAP PLEASEeeeeeeeeee
Answer:
c
100 cm squared = base; 10 cm = height
Step-by-step explanation:
1/3 of 100 is 33.33 repeating so that times ten is 333.1/3 yards.
hope this helps!