Answer:
Third option is the correct answer
[tex] x=\pm \sqrt {26}[/tex]
Step-by-step explanation:
[tex] In (x^2 - 25)= 0[/tex]
[tex]\implies (x^2 - 25)= 10^0[/tex]
[tex]\implies x^2 - 25= 1[/tex]
[tex]\implies x^2 = 25+1[/tex]
[tex]\implies x^2 = 26[/tex]
[tex]\implies x =\pm\sqrt{ 26} [/tex]
A store sells small notebooks for $8 and large notebooks for $16. If a student buys 6 notebooks and spends $80, how many of each size did he buy?
Answer:
Small-6
Large-2
Step-by-step explanation:
small-$8
large-$16
$8×6=$48
$80-$48=$32
32÷16=2(large)
Which value is a solution of 7/4x^2-2=-0.5+4?
Answer:
x=√154 over 7 , −√154 over 7
Step-by-step explanation:
Answer:
the answer is that x=positive or negative square root of 22 over square root of 7
Step-by-step explanation:
Please help I really need help. I am super confused and would really appreciate it
Answer:
[tex] a^{5} [/tex]
Step-by-step explanation:
Given the mathematical expression;
a⁸/a³
To rewrite the expression in the form [tex] a^{m} [/tex]
We would have to apply the law of indices.
[tex] Law \; of \; division = \frac {a^{x}}{a^{y}} = a^{x - y} [/tex]
[tex] Law \; of \; division = \frac {a^{8}}{a^{3}} = a^{8 - 3} [/tex]
[tex] a^{m} = a^{8 - 3} = a^{5} [/tex]
ILL MARK BRAINLIEST!
Which of these points lies on the graph of the equation x – 9 = y?
A. (3, 6)
B. (2, 11)
C. (-3,-6)
D. (-2, -11)
Answer:
D. (-2, -11)
Step-by-step explanation:
Since -2 - 9 = -11, it fits into the equation x - 9 = y, with -2 being "x" and -11 being "y".
And out of all the options, D is the only one that works.
Please help me with this question
Answer:
B 160 ft^2
Step-by-step explanation:
Right away you can eliminate A and C as area in square feet suppose to be. A=bh A= 20 x 8=160 ft^2
Natalie paid $20.7 for 3 small pizzas and a salad which was $3.
A watermelon that weighed 12 pounds cost $5.76. What was the cost per ounce of the watermelon?
Answer:
69.12
Step-by-step explanation:
12x5.76
Answer
69
Step-by-step explanation:
12×5.75=69
The perimeter of a rectangular hall is 120m. If its breadth is 25m, find the length
Answer:
[tex] 35m [/tex]
Step-by-step explanation:
Given :-
The perimeter of a rectangular hall is 120m.Its breadth is 25m .And we need to find the length of the rectangle . We can use the formula to find the perimeter of rectangle , as ,
Perimeter of rectangle :-
[tex]\implies Perimeter = 2( l + b)[/tex]
Let the length of the rectangle be x . Plug in the respective values ,[tex]\implies 120m = 2 ( x + 25m) \\\\\implies x + 25m =\dfrac{120m}{2}\\\\\implies x + 25m = 60m \\\\\implies x = 60m - 25m \\\\\implies x = 35m [/tex]
Hence the length of the rectangle is 35 m .
Determine the area of this triangle...
Answer:
650,000 cm²
Step-by-step explanation:
10x6.5=65 METERS squared. They want it in CENTIMETERS squared.
65m² = 650,000cm²
Answer:
32.5[tex]m^{2}[/tex]
Step-by-step explanation:
The coloured triangle with the blank triangle area =
(14m x 6.5m)÷2 = 45.5[tex]m^{2}[/tex]
The blank triangle area =
[(14-10m) x 6.5m]÷2 = 13[tex]m^{2}[/tex]
Therefore:
The coloured triangle area =
(45.5 - 13)[tex]m^{2}[/tex]
=32.5[tex]m^{2}[/tex]
What is the radius of
this cylinder if the
volume is 75.4 in^3 and
the height is 6 inches
Answer:
Radius of cylinder = 2 inch (Approx.)
Step-by-step explanation:
Given:
Volume of cylinder = 75.4 in³
Height of cylinder = 6 inches
Find;
Radius of cylinder
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (3.14)r²(6)
75.4 = (18.84)r²
(Radius of cylinder )² = 75.4 / 18.84
(Radius of cylinder )² = 4.002123
(Radius of cylinder) = 2
Radius of cylinder = 2 inch (Approx.)
Find the side lengths of the triangle in this picture.
Answer:
Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.
Step-by-step explanation:
According to the statement, we have the following information about the lengths of the right triangle:
Hypotenuse
[tex]3\cdot x + 14[/tex]
Long leg
[tex]3\cdot x + 13[/tex]
Short leg
[tex]x[/tex]
By the Pythagoric Theorem, we have the following expression:
[tex](3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2}[/tex] (1)
[tex]9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169[/tex]
[tex]9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169[/tex]
[tex]x^{2} -6\cdot x -27 = 0[/tex]
[tex](x-9)\cdot (x+3) = 0[/tex]
As length is a positive variable by nature, then the only possible solution is [tex]x = 9[/tex]. Lastly, the side lengths of the right triangle are:
Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.
Raw scores on a certain standardized test one year were normally distributed, with a mean of 156 and a standard deviation of 23. If
48,592 students took the test, about how many of the students scored less than 96?
Answer:
About 220 of the students scored less than 96
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 156 and a standard deviation of 23.
This means that [tex]\mu = 156, \sigma = 23[/tex]
Proportion that scored less than 96:
p-value of Z when X = 96. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{96 - 156}{23}[/tex]
[tex]Z = -2.61[/tex]
[tex]Z = -2.61[/tex] has a p-value of 0.00453.
About how many of the students scored less than 96?
0.00453 out of 48592.
0.00453*48592 = 220.1.
Rounding to the closest integer:
About 220 of the students scored less than 96
Answer:
220
Step-by-step explanation:
#platolivesmatter
find the common difference of the arithmetic sequence 3, -2, -7
Answer:
-5
Step-by-step explanation:
To find the common difference, take the second term and subtract the first term
-2 - 3 = -5
Check with the third term and the second term
-7 - (-2) = -7 +2 = -5
The common difference is -5
Help please!!! This is my last question
Answer:
c. 203
Step-by-step explanation:
The formula is A + [tex]\frac{1}{2}[/tex] p(s)
A=area of base
p=perimeter of base
s=slant height
So plug in the numbers: 49 + [tex]\frac{1}{2}[/tex] 28(11) and solve.
Trapezoid A and trapezoid B as shown on the coordinate grid.
Describe three basic transformations on trapezoid A which show trapezoid B is similar to trapezoid A. In your response, be sure to identify the transformations in the order they would be performed.
Answer:
Step-by-step explanation:
The missing diagram showing the trapezoids is attached in the diagram below.
There are three stages by which trapezoid A must be transformed into trapezoid B.
We can see three fundamental differences as follows:
rotationsize locationAs a result, we will perform the following transformations:
Right off the bat, carry out an anticlockwise rotation of Trapezoid A 90 degrees from the origin.Then, to balance the size of the dimension, elongate by a scale factor of 1/3. (As can be shown, each side is three times larger after this move, and its base is at y = -2)Finally, a three-unit down translation is carried out.An object is thrown straight up from the top of a building 150 feet tall with an initial velocity of 12 feet per second. The height of the object as a function of time can be modeled by the function y = –16x2 +12x + 150, where y is the height of the object (in feet) and x is the time in seconds after it is thrown.
Answer:
will this work or help ?
Step-by-step explanation:
The given equation governs the height versus time of the object. h(0) = 64, so the ground is considered at h = 0. The question is at what time is h = 0? So, set h = 0 and solve for t.
-16t^2 + 48t + 64 = 0
We can divide both sides of this equation by -16 for simpler numbers. We get
t^2 - 3t - 4 = 0
We can factor this equation:
(t - 4)(t + 1) = 0
So, t = 4 and t = -1 are solutions.
But, time must be positive, so t = -1 makes no sense, so we discard it. This leaves
t = 4 sec.
Find the length of the third side of each triangle - Find Hypotenuse
Answer:
First one 28
Second one 53
Step-by-step explanation:
Using pythagoras theorem
Sqrt(24^2+7^2)=28
sqrt(45^2+28^2)=53
X/4 < 1.5 show steps please
Step-by-step explanation:
x/4<1.5x<1.5×4x<6stay safe healthy and happy...Milena walked 25.086 kilometers on Monday, 19.8 kilometers on Tuesday, and 7 kilometers on Wednesday. What was the total distance that Milena walked
I can’t seem to find the value of n in this peoblem
Answer:
9
Step-by-step explanation:
you can always use guess-and-check:
124 seems rather high
(6)P(2) = 6!/4! = 6x5 ≠ 72
(9)P(2) = 9!/7! = 9x8 = 72
Answer:
i think the value of n is 12
Please this a really easy question. Does this mean I got an A on this test?! Please answer!!!!!!!!!!!!!!!
Answer:
yes it does. good job on your A.
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Which one of the following is an ordered pair?
{-3, 5}
(2, 4, 0)
(0, 6)
1, 3
9514 1404 393
Answer:
(c) (0, 6)
Step-by-step explanation:
Conventionally, an "ordered pair" is a pair of items in parentheses, separated by a comma. The items don't have to be numbers. (0, 6) is an ordered pair.
__
Comments on the other answer choices
Curly braces are usually used as delimiters of a set, not an ordered pair.
Three items do not constitute a "pair." Rather, they are a "triple."
Items without any particular indicator of grouping are usually not considered a "pair."
Dawn weighs 80 pounds. Olivia weighs 48 ounces more. How much does Olivia weigh?
Multiple Choice Find
the value of x.
A 5 B 215
C 52 D 1
10
Answer:
5 x Square root:2
Step-by-step explanation:
There is a 40% chance that part of your summer this year will be spent on vacation. If there are 85 days of summer vacation, how many days will you be on vacation?
Factor the following expressions completely. Show and check all work on your own paper.
5x2-50x+125
6th grade, the problem solving is on the image, Thank you
Answer:
y=x+3
Step-by-step explanation:
when you connect all the dots it makes a straight linear line. then you can use the format y=mx+b
y is the y value
m is the slope (change in y divided by change in x or, rise over run)
x is the x value
b is the y intercept (the y value where the line will touch the y axis/vertical line)
to make the equation
y=mx+b
y and x are variables so you dont need to write them
the slope is rise/run just pick two points such as the first point (0,3) and the second point (1,4)
between these points it changes one unit to the right (1) and one unit up vertically meaning 1/1
=1
when the slope is 1 you get
y=1x+b which is just y=x+b
then the y intercept
the first dot is touching the y axis line and it's y value is 3
y=x+3
hope this helps
Plz help its my last grade and i really need it to be good
Answer:
Option D
Step-by-step explanation:
[tex]60+45+75=180[/tex]
[tex]Triangle ~has ~the~ sum ~of ~angle =180[/tex]
--------------------------
hope it helps...
have a great day!!
Answer:
D will be your answer!!
Step-by-step explanation:
hope it helps
5(9-x)/3 +1 less than 11
find x
Answer:
x > [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5(9-x)}{3+1}<11[/tex]
Add 3 and 1 to get 4.
[tex]\frac{5(9-x)}{4}<11[/tex]
Use the distributive property to multiply 5 by 9−x.
[tex]\frac{45-5x}{4}<11[/tex]
Subtract 45/5 from both sides.
[tex]-\frac{5}{4}x<11-\frac{45}{4}[/tex]
Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.
[tex]-\frac{5}{4} x<-\frac{1}{4}[/tex]
Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.
[tex]x>-\frac{1}{4} (-\frac{4}{5} )[/tex]
Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.
[tex]x>\frac{-(-4)}{4 x 5}[/tex]
[tex]x>\frac{1}{5}[/tex]
Plz help me well mark brainliest!
How many units away are each of the points from the a y-axis?
A.3
B.4
C.6
D.7
B. 4
count the boxes from the point to the y axis, which would be 4
ignore my previous answer, i was confused, sorry.