Answer:
The answer is 72.
Step-by-step explanation:
You have to put in the values of a and b into the expressions :
[tex] {a}^{2} {b}^{3} - {(ab)}^{2} [/tex]
[tex]let \: a \: = - 2 \\ let \: b = 3[/tex]
[tex] {( - 2)}^{2} \times {(3)}^{3} - {( - 2 \times 3)}^{2} [/tex]
[tex] = 4 \times 27 - { (- 6)}^{2} [/tex]
[tex] = 108 - 36[/tex]
[tex] = 72[/tex]
Keeping the properties of exponents in mind to what power must your raise the expression 7 1/2 to get 7 as a result
Answer:
x=2
Step-by-step explanation:
(7^ (1/2))ˣ = 7¹
1/2 *x =1
x =2
A bag contains purple marbles and blue marbles, 38 in total. The number of purple marbles is 5 more than 2 times the number of blue marbles. How many purple marbles are there?
Answer:
27 purple marbles
Step-by-step explanation:
purple marbles- pblue marbles- bEquations based on the given:
p= 2b +5 and p+b= 38
2b+5+b= 38 ⇒ 3b+5= 38 ⇒ 3b= 33 ⇒ b= 11p= 38-11= 27I) CD and EF are parallel lines.
AB is a straight line.
An angle of size 135 degrees is shown.
Write down the letter of one other angle of size 135 degrees given a reason for your answer on the same line.
ii) The size of angle p+q+r =
I will give you brainliest !!! The graph of y=8x+7 is:
Answer:
C
Step-by-step explanation:
A line that shows all solutions
hanako goes to the movies with 2 friends.
They each buy a movie ticket. They will share
a large popcorn for $8. They spend a total of
$38. What is the price of 1 movie ticket?
Ayuuuudeeeeen :')
t.t
Answer: a=4
Step-by-step explanation:
Es facil. La diagonales de un rectangulo se cortan en su punto medio por tanto la diagonal es 10 (el doble de 5).
Por pitagoras entonces:
[tex]a=\sqrt{10^2-8^2}=\sqrt{100-64}=\sqrt{36}=4[/tex]
Find the equation of the circle whose center and radius are given. center ( 7, -3), radius = √7
Answer & Step-by-step explanation:
The equation of a circle is...
[tex](x-x1)^2+(y-y1)^2=r^2[/tex]
So all we have to do is plug in the numbers we are given.
So, the equation of the circle is (x - 7)² + (y + 3)² = √7²
Answer:
[tex](x - 7)^{2} + (y + 3)^{2} = 7[/tex]
Step-by-step explanation:
Just finished this quiz and checked the answer key.
Hope this helps
Need help plotting this on a number line
Answer:
Fill in the long -5/2 on the number line and draw a ray extending to the left
Step-by-step explanation:
The y-intercept of the graph of y=(x-c)(x-d)^3 is
Answer:
Just Make x=0
[tex]y_i=(-c)(-d)^3=cd^3[/tex]
which of the following descriptions represents the transformation shown in the image?
Answer:
A
Step-by-step explanation:
It is a 90-degree rotation counterclockwise 2 units left and 3 units down.
evaluated 5x - (x + 3)2 for x = 2,
Answer:
0
Step-by-step explanation:
5x - (x+3)2
5x - (2x+6)
5x - 2x -6
3x - 6
3(2) - 6
6 - 6
0
pls help me 13 minute left 10 POINTS
Answer:
The answer is 6.28.
Step-by-step explanation:
The formula for finding the circumference is C=2 times 3.14 times the radius of the circle. 3.14 times 2 equals 6.28 times the radius which is 1 feet (because half of 2 feet equals 1 feet). 6.28 times 1 equals 6.28.
which of the following descriptions represent the transformation shown in the image? Part 1b
Answer: b) 2 units left, 4 units up, reflect across y-axis
Step-by-step explanation:
The easiest way to do this is to graph the black triangle using the the given options to see which one lands on the red triangle.
The second option is the one that works.
10. Salt and sand mixtures are often used on icy roads. When the mixture is 1 point
dumped from a truck into the staging area, it forms a cone-shaped mound
with a diameter of 100 feet and a height of 60 feet. What is the volume of
the salt-sand mixture?*
Answer:
The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].
Step-by-step explanation:
We have,
Diameter of a cone-shaped mound is 100 feet
Height of a cone-shaped mound is 60 feet
It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
r is radius of cone, r = 50 feet
So,
[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]
So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].
What is the slope of the line that contains the points (-2, 1) and (0, -3)?
Answer:
-2
Step-by-step explanation:
To find the slope we use the formula
m = (y2-y1)/(x2-x1)
= (-3-1)/(0- -2)
= -4 / (+2)
= -2
anyone good at maths who can help me?
brainiest will be given, THANK YOU!!!
Answer:
Step-by-step explanation:
83% of 408:
83/100 x 408 = 338.64 pounds
41% of 53 :
41/100 x 53 = 0.41 x 53 = 21.73 kg
97% of 345m:
0.97 x 345 = 334.65
please mark brainiest
83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We need to find
a)83% of 408 pounds
Firstly we need to convert 83% to decimal by dividing with 100.
83/100=0.83
Now multiply 0.83 with 408
0.83×408=338.64
b)41% of 53 kg
Firstly we need to convert 83% to decimal by dividing with 100.
41/100=0.41
Now multiply 0.41 with 53
0.41×53=21.73
c)97% of 345m
Firstly we need to convert 97% to decimal by dividing with 100.
97/100=0.97
Now multiply 0.97 with 345
0.97×345=334.65m
Hence 83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m
To learn more on Percentage click:
https://brainly.com/question/28269290
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a slushy machine fills 25 containers that hold 64 oz of liquid in a day. how many quarts is this?
Answer:
50 quarts
Step-by-step explanation:
64oz*25=1600oz
1600oz/32=50q
(32oz in each quart)
Please help! Correct answer only!
Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.1071
Step-by-step explanation:
Consider steps below;
[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]
[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]
[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]
Solution; Probability ≈ 0.1071
A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?
Answer:
30%
Step-by-step explanation:
Think of the 10 as 100%. 2 as 20% and so on. The green makes up 30%.
LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
What geometric construction is in progress in the image?
A) Constructing an interior arc
B) Bisecting a ray
C) Copying an angle
D) Bisecting an angle
Answer:
Bisecting an Angle.
Step-by-step explanation:
This image shows the Bisection of an Angle. The 'x' shaped mark between the angle is formed when a protractor is used to mark the place in which a ray must pass through the center of the 'x' to be an equal bisection of the angle. This shows that the process that is being undergone is finding the bisection of the angle.
Answer:
bisecting an angle
just took the test!
Step-by-step explanation:
The human lung has about 80 million alveoli. Give two features of the alveoli that allow large amounts of oxygen to enter the blood.
Answer:
Alveoli forms the respiratory surface in human body.Each alveolus is sac like structure bounded by a single layer of epithelial cells.It is bound on the outside by a network of capillaries. The pulmonary artery from the heart containing deoxygenated blood enters the lungs and then becomes oxygenated after passing in the capillaries through the lungs.
Gabrielle went on a 72 mile trip to a soccer game. On the way back, due to road construction she had to drive 18 miles per hour slower. This made the trip take 9 hours longer. How fast did she drive to the soccer game?
Answer:
Gabrielle drove to the soccer game at the speed of 18 miles/hour
Step-by-step explanation:
Given: Distance covered = 72 miles
On the way back, she had to drive 18 miles per hour slower due to road construction which made the trip take 9 hours longer.
To find: speed
Solution:
Let speed be x miles/hour
Time taken = distance covered/time taken = [tex]\frac{72}{x}[/tex] hours
On the way back, she had to drive 18 miles per hour slower due to road construction
So, new speed = ( x - 18 ) miles/hour
Time taken as per new speed = [tex]\frac{72}{x-18}[/tex] hours
According to question,
[tex]\frac{72}{x-18}-\frac{72}{x}=9\\\frac{1}{x-18}-\frac{1}{x}=\frac{9}{72}\\\frac{x-x+18}{x(x-18)}=\frac{1}{8}\\x^2-18x-144=0\\x^2-24x+6x-144=0\\x(x-18)+6(x-18)=0\\(x-18)(x+6)=0\\x=18\,,\,-6[/tex]
Being a speed, x can not be negative. So, [tex]x=-6[/tex] is rejected
So,
Gabrielle drove to the soccer game at the speed of 18 miles/hour
7x + 14 - 17-3x = 6x - 4z + 2 - 5 find the value of x
3 5 3
Answer:
when z=3 or 5 , values of x is ; 6 or 10.
I think that there is a lack of information or misspelling in the question.
Step-by-step explanation:
4x-3=6x-4z-3
4z=2x
2z=x
z=3 => x=6
z=5 => x=10
Please help me answer these two questions!! Brainliest to be given!!
Answer:
a=2
b=93
I hope this helps you
Step-by-step explanation:
Answer:
1. 2
2. 93
Step-by-step explanation:
First we have to put the values of x and y into the equation
4(3)-2(5)
(4×3)-(2×5)
12-10=2
Now the second one
2(3)²+3(5)²
18+75=93
The volume of a cuboid is 675cm3. The length is 15cm and the width is 30mm. Work out the height of the cuboid in cm.
Answer:
Step-by-step explanation:
30 mm = 3 cm
[tex]\\ height=\frac{Volume}{length*width}\\\\=\frac{675}{15*3}\\\\=15 cm[/tex]
Answer:
h = 15 cm
Step-by-step explanation:
V = l×w×h
h = V/l×w
= 675cm³/15cm×3cm
= 675cm³/45cm²
= 15 cm
Please answer this it's pre-algebra I will give brainliest and thanks
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answer:
14 4 point questions and 26 2 point questions
Step-by-step explanation:
i just know
Can someone please help
Answer:
Step-by-step explanation:
8x^2 - 2x^2 - 3x + 8x + 1/3 - 3/5
6x^2 + 5x + 5/15 - 9/15
6x^2 + 5x - 4/15
the solution is the third one C
Write as an algebraic expression
Answer:
18.) 10x
20.) k - 24
22.) 12 - 9
Step-by-step explanation:
-4/5 x 6/7
dont look it up bc they only give the big answers
Answer:
[tex]-\frac{4}{5}[/tex] × [tex]\frac{6}{7}[/tex] = [tex]-\frac{24}{35}[/tex]
Step-by-step explanation:
It's just like regular multiplication:
[tex]\frac{Numerator}{Denominator}[/tex]
Numerator:
-4 × 6 = -24
Denominator:
-5 × 7 = -35
Given that Triangle ABC such that
a=8cm, b=7cm and c=9cm
tem and c= 9cm find Cos B
Answer:
We use cosine rule also called cosine law which states
c^2=a^2+b^2-2abcosC
given
a=8cm, b=7cm, c=9cm cos C?
9^2=8^+7^2-2*8*7 cos C
expand
81=64+49-112 cos C
like terms together
81-113=-112 cos C
-32=-112cos C
multiply both sides by -1
32=112cos C
divide both sides by 112
32/112=cos C
cosC=0.2857
find cos inverse of 0.2857
angle C= 73.40
