Answer:
h = 5/2
Step-by-step explanation:
[tex]\frac{3}{4} *\frac{1}{2} *h=\frac{15}{16} \\\\\frac{3}{8} *h=\frac{15}{16}[/tex]
divide both sides by 3/8
[tex]h=\frac{5}{2}[/tex]
The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x.
Answer:
28=12+15+8+x
28=35+x
35-28=x
x=7
6
(
f
+
4
)
+
2
(
f
+
4
)
6(f+4) + 2(f+4)
Use the distributive property:
6f+24 + 2f + 8
Now combine like terms:
8f +32
The answer is 8f + 32
Answer:
8 f + 32
Step-by-step explanation:
6 ( f + 4 ) + 2 ( f + 4 )
Distribute
6 × f + 6 × 4 + 2 × f + 2 × 8
6 f + 24 + 2f + 8
Collect like terms
6 f + 2 f + 24 + 8
Add the numbers
8 f + 32
PLEASE HELP! Math (recursive sequences)
Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123
What is the value of the 30th percentile for the data set? 6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896
5896
Step-by-step explanation:Given data set:
6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896
To calculate the 30th percentile;
i. Rearrange the given data set in ascending order.
5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381
ii. Use the following formula to get the index of the value at the 30th percentile.
N = p(n)
Where;
N = the number of data points at or below the intended percentile.
p = the intended percentile.
n = the number of points in the data.
In this case;
p = 30 percent = 0.3
n = 14
Substitute these values into the equation;
N = 0.3(14)
N = 4.2
iii. From the calculated index, find the value of the 30th percentile.
If the index is a whole number x, the desired percentile is the average of the values at index x and x+1.
For example if the index is 4, then the desired percentile is the average of the values at index 4 and 5. In our case, that will be;
[tex]\frac{5896+5896}{2}[/tex] = 5896
If the index is a decimal number, it is rounded up to the nearest integer. The value at the rounded index is the desired percentile.
For example, in our case, the index is 4.2 which when rounded up becomes 4.
Therefore, the data point or value at index 4 is the 30th percentile. From the arrangement in (ii) above, that will be 5896. i.e
5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381
Which integer is farthest from 0?
3
-8
-10
9
Answer:
-10
Step-by-step explanation:
i think this is the answer
HELP ME NEED HELP NOW
Answer:
the product X Y is constant so the relationship is not an inverse variation.
Step-by-step explanation:
Which one is it?
a) <
b) =
c) >
Answer:
B) =
Step-by-step explanation:
When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.
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Have a great summer :)
The value of log₃⁵ x log₂₅⁹ is...
Answer:
i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong
Help
Help
Help
Help
Help
Help
Answer:
105˚, 75˚
Step-by-step explanation:
<2 is 75˚ by same side angles of a transversal.
<1 is supplementary to <2 so 180-75 = 105˚
The choices are a.2 b.4 C. 1/2 D. 1/4
Answer:
b
Step-by-step explanation:
I can't explain it but the answer is b
Find the value of each variable
Answer:
Z = 65 Y = 115
Step-by-step explanation:
z+115 = 180
z=65
y + 65 +100+80= 360
y+245 = 360
y=115
Answer:
y = 115°
z = 65°
Step-by-step explanation:
*IMPORTANT* Straight line = 180° & Squares = 360°
1) 180° - 115° = 65°
z = 65°
2) 360° - 100° - 80° - 65° = 115°
Also, interior angles = exterior angles
Determine whether each side with given lengths is a right triangle.
A. a=5, b=10 and c=15
B. a=11, b=60 and c=61
Answer:
61
Step-by-step explanation:
lenths is a right anglre
Please help I’ll give brainliest
Answer:
15
Step-by-step explanation:
15 cubed (15×15×15) equals 3375
fazer scores 43% in a spelling test, what percentage did he get wrong???
Answer:
57
Step-by-step explanation:
100 - 43 =
57
Answer:
He got 57% wrong
Step-by-step explanation:
If he got 43% correct, there is 100 percent on the assignment
100 -43 = 57
He got 57% wrong
Dada a função fx=0,15.X+900 , determine a) f(80) b) f(120) c) f(200) d) f(56)
Answer:
See answers below
Step-by-step explanation:
Given the function:
f(x) = 0.15x + 900
a) f(80) = 0.15(80) + 900
f(80) = 12 + 900
f(80) = 912
b) f(120) = 0.15(120) + 900
f(120) = 18 + 900
f(120) = 918
c) f(200) = 0.15(200) + 900
f(200) = 30 + 900
f(200) = 930
d) f(56) = 0.15(56) + 900
f(56) = 8.4 + 900
f(56) = 908.4
Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45
Write an equation of the line that passes through the point (4,5) and has a slope of -2.
Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (4, 5) into the partial equation
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line
Answer:
Step-by-step explanation:
slope=-2
now using slope intercet formof equation of straight line,we get
y=mx+b
or, y=-2x + b
y + 2x =b
2x + y=b ...................... eq(i)
since the line passes through the point (4,5) it satisfies the equation (i)
y=5 and x=4 so,
equation is 2x +y =b
2*4 + 5=b
8+5=b
13=b
substituting the value of b in eq(i)
2x + y=b
2x + y=13
2x + y-13=0 is the required equation of the line.
V = I ( R + r )
r = ?
Answer:
r = [tex]\frac{V-IR}{I}[/tex]
Step-by-step explanation:
Given
V = I (R + r) ← distribute parenthesis
V = IR + Ir ( subtract IR from both sides )
V - IR = Ir ( divide both sides by I )
[tex]\frac{V-IR}{I}[/tex] = r
multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4
__________________________
Step 1: Combine 3x² and 1x² to get 4x²
Step 2: Combine 5x and -2x to get 3x
3x² + 5x + 1 × x² - 2x + 4
= 4x² + 5x - 2x + 4= 4x² + 3x + 4___________________________
Out of 113 students, it was found that 18 drink neither tea nor coffee, 67 drink tea and 37 drink coffee.Find:
i) How many students drink coffee only?
ii) How many students like tea only?
Also show in the Venn diagram?
Answer:
Step-by-step explanation:
PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST
I NEED HELP ASAP!!!!
Answer:
The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.
Step-by-step explanation:
Write two numbers that multiply to the value on the top and add to the value on bottom
Answer:
Step-by-step explanation:
-10 and 9
-10×9=-90
-10+9=-1
1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)
Answer:
3/4
Step-by-step explanation:
We can use the slope formula when given two points
m = ( y2-y1)/(x2-x1)
= ( 5-2)/(1 - -3)
= (5-2)/(1+3)
= 3/4
If f(x) = 3x + 2, what is f(5)?
Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
Let x=5
f(5) = 3*5 + 2
Multiply first
= 15+2
Then add
= 17
Find the volume of the sphere.
Either enter an exact answer in terms of 1 or use 3.14 for and round your final answer to the nearest
hundredth.5
Answer:
The volume of the sphere is 523.60
Step-by-step explanation:
The formula for volume of a sphere is :
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
The radius of this sphere is 5, so let's plug that into our equation.
V = [tex]\frac{4}{3}[/tex] · [tex]\pi[/tex] · [tex]5^{3}[/tex]
≈ 523. 59878
Rounded to the nearest hundreth that is 523.60.
Pls help there’s the info above
Answer:
When you're given a line, you can find the rise over the run also known as the slope using a graph, calculating it using the formula, or using a table with two points you've been given from the line. Once you find the slope find the y-intercept which is the point at which the line intercepts with the y-axis of the cartesian plane. I also added some attachments of my own work and an explanation of slope.
Hope I helped have a nice day :)
CAN SOMEONE HELP ME WITH THIS
Answer:
8 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Find the LCD of the two fractions, which is six
3[tex]\frac{1}{2}[/tex] = 3 [tex]\frac{3}{6}[/tex]
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5[tex]\frac{1}{6}[/tex] + 3 [tex]\frac{3}{6}[/tex] = 8[tex]\frac{4}{6}[/tex]
The next step is to reduce:
8[tex]\frac{4}{6}[/tex] = 8[tex]\frac{2}{3}[/tex]
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Have a great summer :)
Answer:
Step-by-step explanation:
[tex]5\frac{1}{6} +3\frac{1}{2} =\frac{31}{6} +\frac{7}{2} \\=\frac{31+21}{6}\\=\frac{52}{6} \\=\frac{26}{3} \\=8\frac{2}{3}[/tex]
Please help me i would give more points but i dont have much (Giving brainlest)
Answer:
Step-by-step explanation:
First, put them in order.
5.3x+3.6x+9.8-8.14
Add 5.3x and 3.6x
8.9x
Subtract 8.14 from 9.8
1.66
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to
Answer:
Step-by-step explanation: