Answer:
[tex] \frac{1}{2} {x}^{2} + 10 + \frac{1}{4} x[/tex]
Step-by-step explanation:
[tex] \frac{1}{2} {x}^{2} + 2 + \frac{1}{4} x + 8[/tex]
[tex]2 + 8 = 10[/tex]
[tex] \frac{1}{2} {x}^{2} + 10 + \frac{1}{4} x[/tex]
Find the area of a square
with a side length of 3/4
Answer:
area of square
= side × side
= 3/4 ×3/4
=9/16
line segment AB is perpendicular to line segment CD . How many 90° angles are formed by the intersection?
Answer:
4 90 degree angles
Sue's bakery sold 850 donuts last week. This week, the number of donuts sold increased 12%. HOW MANY MORE donuts were sold this week as compared to last week
Answer:
102 donuts
Step-by-step explanation:
12% of 850 is 102, so since 12% more donuts are sold this week, we sold 102 more donuts this week compared to last week.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)
9514 1404 393
Answer:
y = 4x -7
Step-by-step explanation:
Rearranging the slope-intercept for equation, we can find the intercept:
y = mx +b
y -mx = b . . . . . subtract mx
We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.
b = 9 -4(4) = -7
The desired equation is ...
y = mx +b
y = 4x -7
In a right triangle, the hypotenuse has endpoints XY, shown on the graph.
On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).
If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
9514 1404 393
Answer:
5
Step-by-step explanation:
A graph can be helpful. It shows possible integer coordinates of Z could be ...
(-1, 2) or (-5, 1)
These have distances 5 and 4√2 from Y, respectively. Of these, only the length YZ = 5 appears on your list of possible answers.
__
The hypotenuse of a right triangle is the diameter of the circumcircle. That is, the right angle vertex (Z) appears on a circle whose center is the midpoint of the hypotenuse. Here, that circle center is C = (-4-1, 2-3)/2 = (-5/2, -1/2). The given point Y differs from this by C - Y = (-5/2 -(-1), -1/2 -(-3)) = (-3/2, 5/2). So, a point with integer coordinates will be 2×(5/2) = 5 units above point Y, which puts it in the 2nd quadrant.
__
Adding any of the 8 combinations (±3/2, ±5/2) or (±5/2, ±3/2) to the circle center coordinates will result in integer coordinates for the right angle vertex. Of these, only the ones listed above are in the second quadrant. A couple are on the y-axis, and two of the possibilities are X and Y. The other two are in the third quadrant.
Line___is a transversal.
Answer:
C
Step-by-step explanation:
Line A is Parallel to Line B
Line C intersects Line A and B
Answer:
line C
Step-by-step explanation:
Is The order that you perform the similarity transformations important?
Answer:
yes i think it is
Step-by-step explanation:
which is more, 6 miles or 31,678 feet ?
Answer: 6miles
Step-by-step explanation: 6miles = 31680ft so 31680>31678
In the figure shown what is the value of x?
Answer:
23 is the right answer hope it's helps you
The value of x from the given congruent triangles is 23 units.
In the figure ΔABC and ΔDEF are given.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Consider, ΔABC and ΔDEF, we have
AB=DE (Given)
∠BAC=∠EDF (Given)
AC=DF (Given)
So, ΔABC ≅ ΔDEF
We know that, by CPCT
BC=FE
⇒ x-4=19
⇒ x=23 units
Therefore, the value of x from the given congruent triangles is 23 units.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
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Which is equivalent to square root 8 to the third power
Answer:
Step-by-step explanation:
IMPORTANT: ∛8ˣ is not the square root of 8³. ∛ means cube root.
∛x = x^(⅓)
PLS HELP ILL GIVE BRAINLIEST!
Answer:
C = 55
O = 55
CRA = 64
ORT = 64
T = 61
Answer:
C = 55
O = 55
CRA = 64
ORT = 64
T = 61
Step-by-step explanation:
A survey shows that three out of every five teenagers at a particular school with cell phones use text messaging. In a group of 90 teenagers, how many would you expect use text messaging? 34 54 56 150
Answer:
Out of a group of 90 there would be 54 messaging
Step-by-step:
messaging is a weird word
The question states:pat needs at least 13 days to make a large order of cupcakes which inequality shows how many ,d, pat needs to make all the ordered cupcakes
Please help first to answer I'll mark brainliest
Answer:
D
Step-by-step explanation:
Inverse of
f(x) = 4x+16
What is the slope of the line ?
Answer:
slope: 3/1.5
Step-by-step explanation:
You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5
Maggie runs 1/4 of a mile in 1.3 minutes. Olivia runs 2/3 of a mile in 2.9 minutes. Who runs faster?
Answer:
Olivia-2.25
Hope I helped
17 Which is a true statement? Standard 8.3
A All rational numbers are whole numbers.
B All irrational numbers are integers.
C All negative integers are irrational numbers.
D All positive integers are rational numbers.
Whe
Answer:
D All positive integers are rational numbers.
Step-by-step explanation:
Integers are rational numbers
63 over 22 as a decimal
Answer:
Step-by-step explanation:
63/22 = 2.86363 = 2.86
A new version of the Medical College Admissions Test (MCAT) was introduced in spring 2015 and is intended to shift the focus from what applicants know to how well they can use what they know. One result of the change is that the scale on which the exam is graded was modified, with the total score of the four sections on the test ranging from 472 to 528. In spring 2015, the mean score was 500.0 with a standard deviation of 10.6.
Required:
What are the median and the first and third quartiles of the MCAT scores?
Answer:
The median of the MCAT scores was of 500.
The first quartile of MCAT scores was of 492.845.
The third quartile of MCAT scores was of 507.155.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
The mean score was 500.0 with a standard deviation of 10.6.
This means that [tex]\mu = 500, \sigma = 10.6[/tex]
Median:
In a normal distribution, the median is the same as the mean, so the median of the MCAT scores was of 500.
First quartile:
This is the 100*(1/4) = 25th percentile, which is X when Z has a pvalue of 0.25. So X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 500}{10.6}[/tex]
[tex]X - 500 = -0.675*10.6[/tex]
[tex]X = 492.845[/tex]
The first quartile of MCAT scores was of 492.845.
Third quartile:
This is the 100*(3/4) = 75th percentile, which is X when Z has a pvalue of 0.75. So X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 500}{10.6}[/tex]
[tex]X - 500 = 0.675*10.6[/tex]
[tex]X = 507.155[/tex]
The third quartile of MCAT scores was of 507.155.
What type of angles are these?
Complementary, Supplementary, or Neither
Got It? Do these problems to find out.
-15
85° | 90°
75
Answer:
a: Neither; b: Complementary
Step-by-step explanation:
Complementary= 90 degrees
Supplementary= 180 degrees
For letter a. the answer is neither because 85 +90= 175 degrees, not 90 or 180 degrees.
For letter b. the answer is complementary because 75 +15= 90 degrees.
(x - 5)2 + (y-(-3))2 = 34 (x - 5)2 + ( + 3)2 = 34 Exercises 12.2 Complete the following: 1. Find the equation of the circle having the given center and ra (a) C(0,0), r= 3 (c) C(4, 3), r = 5 (d) C(2, (b) C(-2.
Answer:
Step-by-step explanation:
The general equation of the circle
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Center = c = (h,k) , radius = r
if C = (0,0) , r = 3
The equation will be :
(x-0)^2+(y-0)^2=3^2
[tex]x^2+y^2=9[/tex]
The product of two numbers is 42.63. If one number is 21. What is the other number
Answer:
21.63 is the other number
Step-by-step explanation:
21 + 21.63 equals 42.63
Answer:
Hi dear. I'm helping you to solve the question and in return you help me with my question.
Step-by-step explanation:
Question : The product of two numbers is 42.63. If one number is 21. What is the other number?
Solution :-
Product of two numbers = 42.63
One of the number = 21
Therefore , the other number = 42.63 ÷ 21 = 2.03
Hope my solution helps you and don't forget to help me with maths questions in return...
Tickets for Broadway show cost $50 for adults and $10 for children. The total receipts for 1510 tickets at one performance for $54,700 how many adults and how many children’s tickets were sold.
Answer:
a lot of kids and adults
Step-by-step explanation:
(07.03)
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step.
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
5(2x - 8) + 15 = -15
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 15 on both sides: 5(2x - 8) = -30[Division Property of Equality] Divide 5 on both sides: 2x - 8 = -6[Addition Property of Equality] Add 8 on both sides: 2x = 2[Division Property of Equality] Divide 2 on both sides: x = 1Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(2(1) - 8) + 15 = -15(Parenthesis) Multiply: 5(2 - 8) + 15 = -15(Parenthesis) Subtract: 5(-6) + 15 = -15Multiply: -30 + 15 = -15Add: -15 = -15Here we see that -15 does indeed equal -15.
∴ x = 1 is the solution to the equation.
Answer: x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
5(2x−8)+15=−15
Step 1: Simplify both sides of the equation.
5(2x−8)+15=−15
(5)(2x)+(5)(−8)+15=−15(Distribute)
10x+−40+15=−15
(10x)+(−40+15)=−15(Combine Like Terms)
10x+−25=−15
10x−25=−15
Step 2: Add 25 to both sides.
10x−25+25=−15+25
10x=10
Step 3: Divide both sides by 10.
10x/10=10/10
x=1The sum of 8 times b and twice g is equal to 32
Given f(x) = (x + 5)2, find f(9).
O A. 28
O B. 196
O C. - 196
O D. 16
given f(x)=(x+5),findf(9)
0C.-196
Simplify
8sqrt48-6sqrt75+7sqrt80
Answer:
2[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
Step-by-step explanation:
= 8 [tex]\sqrt{16}[/tex][tex]\sqrt{3}[/tex] - 6[tex]\sqrt{25}[/tex][tex]\sqrt{3}[/tex] + 7[tex]\sqrt{16}[/tex][tex]\sqrt{5}[/tex]
= 8(4)[tex]\sqrt{3}[/tex] - 6(5)[tex]\sqrt{3}[/tex] + 7(4)[tex]\sqrt{5}[/tex]
= 32[tex]\sqrt{3}[/tex] - 30[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
-2x-4=16
Show each step of your work.
Answer:
x= -10
Step-by-step explanation:
PEMDAS
First you multiply- -2x?
You don't know what x is so you subtract 4 for 16
16-4=12
2-12= -10
5th grade math. Correct answer will be marked brainliest.
1/3 divided by 3 1/2
Answer:
2/21
Step-by-step explanation: