what is the value of x in the equation below?
-3-(-8)-(-2)=x
Answer: The X =7
Step-by-step explanation:
So by simplifying both sides of the equation, then isolating the variable you get the answer and find the value of x Hope this Helps
Which line is parallel to Y=-4
x=6
y=-4x
y=6
y=4x
Answer:
The answer would be y=6
Step-by-step explanation:
Diego also adds 28 tablespoons of sugar. How many cups did he use?
A.1 cup of sugar
B. 1 1/2 cups of sugar
C.1 3/4 cups of sugar
D. 1 1/4 cups of sugar
Answer:
The answer is C.
Step-by-step explanation:
1.) There are 16 tablespoons in 1 cup.
2.) Divide 28 tablespoons by 16 tablespoons, and receive the answer 1.75.
3.) 1.75 converted into fraction form is 1 AND 3/4 cups of sugar.
Math problem). Have to show your work. Look at the picture for the question. Please only answer if you know how. Brainliest answer.
Answer:
[tex] \rm x = -\dfrac{7}{2} [/tex]
Step-by-step explanation:
[tex] \rm Solve \: for \: x \: over \: the \: real \: numbers: \\ \rm \longrightarrow 3^{4 x + 5} = \bigg( \dfrac{1}{27} \bigg)^{2 x + 10} \\ \\ \rm \bigg( \dfrac{1}{27} \bigg)^{2 x + 10}= 27^{-2 x - 10}: \\ \rm \longrightarrow 3^{4 x + 5} = 27^{-2 x - 10} \\ \\ \rm Take \: the \: natural \: logarithm \: of \: both \\ \rm sides \: and \: use \: the \: identity \: log \: a^b = b \: log \: a: \\ \rm \longrightarrow log \: 3^ {4 x + 5} = log \: 27 ^{ -2 x - 10} \\ \\ \rm \longrightarrow log \: 3^ {4 x + 5} = log \: 3 ^{3 (-2 x - 10)} \\ \\ \rm \longrightarrow (4x + 5)log \: 3 = 3( - 2x - 10)log \: 3 \\ \\ \rm Divide \: both \: sides \: by \: log \: 3: \\ \rm \longrightarrow 4 x + 5 = 3 (-2 x - 10) \\ \\ \rm Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \rm \longrightarrow 4 x + 5 = -6 x - 30 \\ \\ \rm Subtract \: 5 - 6 x \: from \: both \: sides: \\ \rm \longrightarrow 10 x = -35 \\ \rm Divide \: both \: sides \: by \: 10: \\ \\ \rm \longrightarrow
x = - \dfrac{7}{2} [/tex]
Problem 3
Instructions: Use the image and your knowledge of the isosceles triangle to find the value of .
72°
х
HELP AND YOU WILL GET BRAINLIEST!!!!!
4 liters of oil cost $10.00. How much does 32 liters of oil cost?
Group of answer choices
$100
$80
$60
$40
Answer:
$80.00
Step-by-step explanation:
4 Liters = $10.00
You're looking for 32 liters total.
32/4 = 8.
8x$10.00 = $80.00
Which of the following shows the result of -2 x -3
Answer:
A
Step-by-step explanation:
3. 5 points
(2) There are two shades of light blue paint getting mixed. Mixture A is made with 5 cups of blue paint and 2 cups of white paint. Mixture B is made with 10 cups of blue paint and 6 cups of white paint. Which mixture is a lighter shade of blue? *
Mark only one oval.
Mixture A
Mixture B
Both make the same shade of blue.
With an explanation please.
Answer:
Mixture B
Step-by-step explanation:
Caroline started the day with 75 tickets at the fair. At the end of the day, the number of tickets she had was 32% less than what she started with. How many did she have at the end of the day
Answer: 24
Step-by-step explanation:
75(0.32) = 24
I got this because 75 is what it started as so I put it as the start of the equation. Then I saw the 32% which would be equal to 0.32 so multiplying would get me the answer because it is a decimal which is smaller than one.
Ms. Morgan bought 3.5 pounds of bananas at $0.52 a pound and 4.5 pounds of pineapple at $1.19 a pound. How much did she pay for the bananas and pineapple?
Answer:
$7.22
Step-by-step explanain:
For the bananas you have to multiply 3.5 lbs by 0.52 cents. You will then get $1.82
For the Pineapple you have to multiply 4.5 lbs by $1.19 and you will get $5.40
1.82 + 5.40 = $7.22
I hope i helped! :))
Answer:
$7.14
Step-by-step explanation:
12 mm
9 mm
What is the length of the hypotenuse?
Step-by-step explanation:
By Pythagoras's theorem,
hypotenuse^2 = 12^2 + 9^2
hypotenuse = ±15mm (rej -15mm since hypotenuse > 0mm)
therefore, 15mm
Topic: Pythagoras theorem
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Please help I’ll mark brainliest as long as you tell me how you got that answer, also I apologize if it’s kinda blurry. I hope you can still read it
Answer:
Answer is C
Step-by-step explanation:
I mean there isn't much too this problem just fit in the values into the answers, so the correct answer is c because 16 + 0.55n is sixteen dollars for the trophy and 55 cents per letter in the engraving. Also, the other store sells the trophy for 22 dollars and 25 cents per letter on the engraving.
Answer:
a
Step-by-step explanation:
if you look at the equation, you can see there is an equal sign, so both costs must be the same. this marks out c and d.
each side of the equation has to be paired with one another. 16 and .55 have to be together, and 22 and .25 have to be together. in b, they are mixed up, so that makes it wrong.
this leaves a
the price of a ring was increased by 30% to £325 what was the price before increase
Triangle ABC is similar to triangle PQR. List all of the proportions that can be used to find n?
Answer:
its smaller and its upside down
Step-by-step explanation:
123^3 as a power of 5
Answer:
5043
Step-by-step explanation:
The odds in favor of a horse winning a race are posted as 5 : 2. Find the probability that the horse will lose the race.
Answer:
I think the ratio would be 2/7.
Step-by-step explanation:
Use the Fundamental Theorem of Calculus to find the "area under curve" of
f
(
x
)
=
6
x
+
19
between
x
=
12
and
x
=
15
.
Answer:
[tex]\displaystyle A = 300[/tex]
General Formulas and Concepts:
Calculus
Integrals
Definite IntegralsArea under the curveIntegration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
f(x) = 6x + 19
Interval [12, 15]
Step 2: Find Area
Substitute in variables [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^{15}_{12} {(6x + 19)} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^{15}_{12} {6x} \, dx + \int\limits^{15}_{12} {19} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = 6\int\limits^{15}_{12} {x} \, dx + 19\int\limits^{15}_{12} {} \, dx[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = 6(\frac{x^2}{2}) \bigg| \limits^{15}_{12} + 19(x) \bigg| \limits^{15}_{12}[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle A = 6(\frac{81}{2}) + 19(3)[/tex]Simplify: [tex]\displaystyle A = 300[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
A school is holding a carnival and hopes to raise $500. Child tickets cost $3 and adult
tickets cost $5. If the school sells x child tickets and y adult tickets. Write an inequality
to show how many tickets the school needs to sale in order to raise more than $500.
Answer:
x is 100 and y is 40
Step-by-step explanation:
First make 500 into a number where it can be divisable by 3. 5x40=200
500-200=300, 300 divided by 3 equals 100
x=100
y=40
A clothes shop has some special offers.
T-shirts are buy one get one free and jumpers are 3 for 2.
The normal price of a Tshirt is £3.80 and the normal price of a jumper is £16.20. How much does it cost to get 4 jumpers and 2c Tshirts using this offer as appropriate?
Write and equation for this table use y=mx+b PLA ANSWER HELP FAST
Answer:
y=2/3x+19/3
Step-by-step explanation:
plug into y-y prime = m (x-x prime)
Suppose a particular brand of energy bars has come up with a new recipe. They want to know how many energy bars they need to test for calorie content in order to be 94% confident that the sample mean will be within 3 calories of the true mean
Complete Question
Suppose a particular brand of energy bars has come up with a new recipe. They want to know how many energy bars they need to test for calorie content in order to be 94% confident that the sample mean will be within 3 calories of the true mean? Suppose there is a population standard deviation of 20 calories
Answer:
The value is [tex]n =157 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 3[/tex]
The standard deviation is [tex]\sigma = 20[/tex]
From the question we are told the confidence level is 94% , hence the level of significance is
[tex]\alpha = (100 - 94 ) \%[/tex]
=> [tex]\alpha = 0.06[/tex] \
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.881[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.881 } * 20 }{3} ] ^2[/tex]
=> [tex]n =157 [/tex]
Which of the following relations is a function?
OA. (2.0), (-1, 3), (7, 1), (-1,5)
OB. (2,4), (-1, 2), (7, 1), (-8, 2)
OC. (7,1),(-1, 4), (2, 1), (7, 2)
OD. (2, 4), (-1, 6), (2, 3), (-8, 2)
Answer:
oD is function
Step-by-step explanation:
(2,4),(-1,6),(-8,2),(2,3) is function
Lee is y years old
Toby is 8 years younger than lee
the sum is of their ages is less than 41
write down in terms of y an inequality to show this information
Answer:
Age of Lee = y years
Age of Toby = (y - 8) years
Sum of their ages < 41
or, y +y - 8 < 41
or, 2y - 8 < 41
Adding '8' on both sides,
or, 2y - 8 + 8 < 41
or, 2y < 41
plz helpppppppppppppppppppppppppppppppppppp
ABCD is a trapezium
9 cm
B
С
6.5 cm
6 cm
D
А.
23 cm
Work out the size of angle CDA, giving your answer to 1 decimal place.
Answer:
27.6 degrees for people that can't read the picture attached :)
Step-by-step explanation:
Applying the tangent ratio, the size of ∠CDA in the given trapezium, to 1 decimal place is: 27.6°.
What is Tangent Ratio?Given a right triangle, the tangent ratio is a Trigonometric ratio which is expressed as: tan ∅ = opposite side / adjacent side.
First, find AE using the Pythagorean Theorem:
AE = √(6.5² - 6²)
AE = 2.5 cm
Find FD:
FD = AE + BC
FD = 2.5 + 9 = 11.5
Using the tangent ratio, find m∠CDA:
∅ = ∠CDA
opposite = FC = 6 cm
adjacent = FD = 11.5
Therefore:
tan ∠CDA = 6/11.5
∠CDA = tan^(-1)(6/11.5) = 27.55 ≈ 27.6°
Therefore, applying the tangent ratio, the size of ∠CDA in the given trapezium, to 1 decimal place is: 27.6°.
Learn more about tangent ratio on:
https://brainly.com/question/4326804
Evaluate the following function: *
k(t)=13t-2
k(3)=
what are exponents?
they are very hard for me
If ∠BAC ≅ ∠DCA, is ABE ≅ CDE? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.
Answer:
The answer is A.
Step-by-step explanation:
It is A because both sides match up except for the last pair, where they are the same. Hope this helped!
"Suppose we are testing the null hypothesis H0: = 20 and the alternative Ha: 20, for a Normal population with = 5. A random sample of 25 observations is drawn from the population, and we find that the sample mean of these observations is = 17.6. The P-value is closest to:"
Complete question is;
Suppose we are testing the null hypothesis H0: μ = 20 and the alternative Ha: μ ≠ 20, for a normal population with σ = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is x¯ = 17.6. The P-value is closest to:
a. 0.0668.
b. 0.0082.
c. 0.0164.
d. 0.1336
Answer:
Option D
Step-by-step explanation:
We are given;
Null hypothesis; H0: μ = 20
Alternative hypothesis; Ha: μ ≠ 20
Population Standard deviation; σ = 5
Sample size; n = 25
Sample mean; x¯ = 17.6
Let's find the z-score from the formula;
z = (x¯ - μ)/(σ/√n)
z = (17.6 - 20)/(5/√5)
z = - 1.073
From online p-value from z-score calculator attached, using z = -1.073; two tailed hypothesis; significance value of 0.05,we have;
The P-Value is 0.283271.
Looking at the given options, the closest to the p-value is option D
I need help finding the reasoning.
Answer:
3. ASA (Angle Side Angle)
4. CPCTC (Congruent Parts of Congruent Triangles are Congruent)
Step-by-step explanation:
Since angle Q is congruent to angle T, side QR is congruent to side TR, and angle R is congruent to angle R, we can say that the triangles are congruent because of the Angle Side Angle Postulate.
With that being said, the other parts of the triangle are congruent, which is proved by the CPCTC theorem.
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